Journal of Advances in Applied & Computational Mathematics
type: channel
description: The Journal of Advances in Applied & Computational Mathematics is a peer-reviewed international journal dedicated to the publication of high-quality research in applied mathematics and computational mathematics. The journal provides a scholarly forum for the development, analysis, and application of mathematical methods addressing complex problems across science, engineering, technology, and interdisciplinary domains. Published by Avanti Publishers in academic affiliation with the Department of Mathematics at the University of Dayton, the journal is committed to maintaining rigorous peer review standards and strong editorial oversight.
publisher: Avanti Publishers
language: en
publication name: Journal of Advances in Applied & Computational Mathematics
issn: 2409-5761
copyright: All the published articles are licensed under the terms of the Creative Commons Attribution Non-Commercial License (CC BY-NC 4.0) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.
items: Conditional Randomized Divergence Degree of Theories in the Fuzzy Propositional Logic System BL*
items: Equivalence Analysis of Two Different Methods for Solving Fuzzy Linear Systems
items: Accurate Estimation of COVID-19 Active Cases Using Bézier Curve-Based Mathematical Modeling
items: Normalized Solutions for Biharmonic Equation with Combined Pure-power and Saturable Nonlinearities
items: Dynamic Bifurcation Analysis of Incommensurate Fractional-Order Hopfield Neural Networks with Multiple Time Delays
items: Dynamic Event-triggered H∞ State Estimation for Memristive Neural Networks with Variance Constraints and Time-delay: A Finite-horizon Approach
items: Fixed Point Theory in Graph-Structured Controlled Partial Metric Spaces with Applications to Integral Equations
items: A Mathematical Model for the Saturation Effects of Radiotherapy with Oscillating Tumor Density
items: Convergence of θ-Milstein Method for Stochastic Differential Equations Driven by G-Brownian Motion
items: Abstract Dirichlet Problem for Elliptic System on Corner Domain
items: Hopf Bifurcation of a Delay Commensalism System with Density Dependent Birth Rates
items: Vector Lattice Data Analysis: Fitting and Model Uncertainty
items: Mathematical Modelling of the Health Impact of Air Pollution from Figuil Cement and Marble Works on the Respiratory System of the Local Population
items: Mathematical Modelling and Numerical Simulation of Hydrodynamics with Flood Mitigation Strategies in the Mayo-Danay Department of Cameroon's Far North Region
items: Double Parametric Based Solution of Fuzzy Volterra Integral Equations with Separable Type Kernels
items: On Continuities via P-Statistical Convergence
items: Fractional Inequalities for Exponentially s-Convex Functions on Time Scales
items: Forecasting Non-stationary Time Series Using Deep Learning in a Fuzzy Time Series Framework and its Application to Stock Markets
items: A Study of an EOQ Model of Deteriorated Items with Pentagonal Dense Fuzzy Demand Rate
items: Sign-changing Solutions for Fourth Order Elliptic Equation with Concave-convex Nonlinearities
items: Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces
items: Enhancing Fruit Tree Yield Prediction with an Optimized Grey Neural Network Model Using the Fruit Fly Algorithm
items: W2,p-Regularity of Lp Viscosity Solutions to Fully Nonlinear Elliptic Equations with Low-Order Terms
items: Biomagnetic Fluid Flow on a Nonlinearly Stretching Sheet with Variable Thickness in a Magnetic Environment
items: Generalized Rational Type Contraction and Fixed Point Theorems in Partially Ordered Metric Spaces
items: Solving System of Mixed Ordered Variational Inequalities Involving XOR and XNOR Operations in Ordered Product Banach Space
items: Analysis of Functional and Neutral Differential Equations via Lyapunov Functionals
items: A New Approach of Milne-type Inequalities Based on Proportional Caputo-Hybrid Operator
items: Generalized Legendre Polynomial Configuration Method for Solving Numerical Solutions of Fractional Pantograph Delay Differential Equations
items: Landslide Hazard Assessment Model for Slope Stability Analysis

Conditional Randomized Divergence Degree of Theories in the Fuzzy Propositional Logic System BL*
type: item
description: Using the concept of conditional probability and the randomization method of valuation sets, the conditional randomized truth degree of formulas is proposed in the fuzzy propositional logic system BL* with valuation domain [0,1]. The MP rule and HS rule for conditional randomized truth degrees are proven based on the semantics of BR0 algebra. At the same time, the concepts of conditional randomized similarity and conditional randomized pseudo-metric between formulas are introduced. It established a conditional randomized logic metric space. Within this conditional randomized logic metric space, the conditional randomized divergence of theories and its equivalent forms are proposed. Along with three different types of approximate reasoning modes, the relationships among them are discussed.
subject: Articles
  topic: section
subject: Fuzzy logic, Conditional randomized truth degree, Conditional randomized divergence degree, Conditional randomized logical metric space.
  topic: keywords
creator: Yin He
creator: Xiaojing Hui
creator: Chenxue Peng
rights: Copyright (c) 2026 Yin He, Xiaojing Hui, Chenxue Peng https://creativecommons.org/licenses/by-nc/4.0
date: 2026-03-07
publication date: 2026-03-07
starting page: 1
ending page: 16
doi: 10.15377/2409-5761.2026.13.1

Equivalence Analysis of Two Different Methods for Solving Fuzzy Linear Systems
type: item
description: In this paper, the distinction and connection between a new approach introduced in [29] and the traditional method presented in [1] for some semi-fuzzy linear systems are discussed. Firstly, the consistency of some primary algebraic operations between the a-center and a–radius of a fuzzy number x~\widetilde{x}x and the a-levels of a fuzzy number x~\widetilde{x}x is analyzed. Secondly, the equivalence property of the computing model and the strong fuzzy solution in recent paper [29] by discussing the proposed method twenty-eight years ago [1] are considered. Then, the dual fuzzy linear systems are also investigated in a similar way. Finally, two classical and well known examples are given to show the validity of the new method in which the idea and approach can be applied to simplifying calculation of any semi-fuzzy linear systems.
subject: Articles
  topic: section
subject: Equivalence
  topic: keywords
subject: Fuzzy numbers
  topic: keywords
subject: Matrix computation
  topic: keywords
subject: Fuzzy linear systems
  topic: keywords
creator: Yahui Liu
creator: Xinyi Duan
creator: Xiaobin Guo
rights: Copyright (c) 2025 Yahui Liu, Xinyi Duan, Xiaobin Guo https://creativecommons.org/licenses/by-nc/4.0
date: 2025-12-28
publication date: 2025-12-28
starting page: 231
ending page: 242
doi: 10.15377/2409-5761.2025.12.14

Accurate Estimation of COVID-19 Active Cases Using Bézier Curve-Based Mathematical Modeling
type: item
description: COVID-19 has reminded humanity of the devastating reality of a pandemic after many years. This global crisis fundamentally altered daily life and exposed significant vulnerabilities in public health systems worldwide. This work proposes a geometric curve-based prototype to support the fight against current and future pandemics. The study models a near-perfect estimation of the active case number with the help of the Bézier curve. The Bézier prototype consists of a C0 class, piecewise continuous, and segmented structure. The noiseless and cost-free model estimates the number of active cases in Germany, Canada, and Israel with minimum error. It compares the results obtained with those of cases in China. The absolute average error of the model is reduced to 0.087%. As a result, the consistent and cost-effective model can increase the likelihood of making rapid and accurate decisions against epidemics, produce well-organized projections for the future, and improve the effectiveness of measures to be taken.
subject: Articles
  topic: section
subject: COVID-19
  topic: keywords
subject: Bézier curve
  topic: keywords
subject: Pandemic forecasting
  topic: keywords
subject: Active case estimation
  topic: keywords
subject: Data-driven prediction
  topic: keywords
subject: Mathematical modeling
  topic: keywords
subject: Epidemiological modeling
  topic: keywords
creator: Emre Eroglu
rights: Copyright (c) 2025 Emre Eroglu https://creativecommons.org/licenses/by-nc/4.0
date: 2025-12-28
publication date: 2025-12-28
starting page: 217
ending page: 230
doi: 10.15377/2409-5761.2025.12.13

Normalized Solutions for Biharmonic Equation with Combined Pure-power and Saturable Nonlinearities
type: item
description: We investigate the existence of normalized solutions to the biharmonic equation with combined pure-power and saturable nonlinearities: where 5 < N < 7, 2 < p < 4*: = μ > 0 is a parameter, λ ∈ R arises as a Lagrange multiplier associated with the L2-constraint, and – 1 < g < 0 is a constant. By employing variational methods and analyzing the problem on the Pohozaev manifold, we establish the existence of ground state solutions in the L2-subcritical regime and mountain-pass type solutions in the L2-supercritical regime.
subject: Articles
  topic: section
subject: Biharmonic equation
  topic: keywords
subject: Normalized solutions
  topic: keywords
subject: Saturable nonlinearity
  topic: keywords
subject: Pure-power nonlinearity
  topic: keywords
creator: Yue Ma
creator: Ziheng Zhang
rights: Copyright (c) 2025 Yue Ma, Ziheng Zhang https://creativecommons.org/licenses/by-nc/4.0
date: 2025-12-28
publication date: 2025-12-28
starting page: 193
ending page: 216
doi: 10.15377/2409-5761.2025.12.12

Dynamic Bifurcation Analysis of Incommensurate Fractional-Order Hopfield Neural Networks with Multiple Time Delays
type: item
description: This study extends a traditional neural network model to an asymmetric Hopfield model incorporating triple time delays through a combined qualitative and quantitative analytical approach. The system is first linearized using Taylor series expansion, followed by the determination of bifurcation points in the resulting system of equations containing quadratic transcendental terms. An improved Adams-Bashforth-Moulton predictor-corrector method is employed for discretization analysis. Theoretical findings are validated through three numerical case studies, with further examination of how time delays influence the system’s dynamic behavior.
subject: Articles
  topic: section
subject: Stability analysis
  topic: keywords
subject: Nonlinear dynamics
  topic: keywords
subject: Dynamic bifurcation
  topic: keywords
subject: Hopfield neural network
  topic: keywords
subject: Three nonidentical delays
  topic: keywords
subject: Fractional-order neural networks
  topic: keywords
subject: Adams-Bashforth-Moulton method
  topic: keywords
creator: Yiqing Wang
creator: Jun Jiang
rights: Copyright (c) 2025 Jun Jiang, Yiqing Wang https://creativecommons.org/licenses/by-nc/4.0
date: 2025-12-28
publication date: 2025-12-28
starting page: 166
ending page: 192
doi: 10.15377/2409-5761.2025.12.11

Dynamic Event-triggered H∞ State Estimation for Memristive Neural Networks with Variance Constraints and Time-delay: A Finite-horizon Approach
type: item
description: This paper discusses the dynamic event-triggered H∞ state estimation issue for memristive neural networks with time-delay under variance constraints. The dynamic event-triggered mechanism is incorporated into the sensor-to-estimator to reduce resource consumption in the communication channel. The objective is to design the time-varying state estimator such that, in the presence of the dynamic event-triggered mechanism and time-delay, new sufficient criteria are derived to ensure the desired H∞ performance and the boundedness of estimation error variance. Furthermore, a novel non-augmented H∞ state estimation algorithm is proposed under variance constraint by using the stochastic analysis techniques. Finally, a simulation example is used to illustrate the effectiveness of the proposed H∞ state estimation algorithm.
subject: Articles
  topic: section
subject: Time-delay system
  topic: keywords
subject: H∞ state estimation
  topic: keywords
subject: Memristive neural networks
  topic: keywords
subject: Resource-efficient estimation
  topic: keywords
subject: Variance-constrained estimation
  topic: keywords
subject: Dynamic event-triggered mechanism
  topic: keywords
creator: Yan Gao
creator: Yan Zhang
creator: Jun Hu
rights: Copyright (c) 2025 Yan Gao, Yan Zhang, Jun Hu https://creativecommons.org/licenses/by-nc/4.0
date: 2025-12-28
publication date: 2025-12-28
starting page: 143
ending page: 165
doi: 10.15377/2409-5761.2025.12.10

Fixed Point Theory in Graph-Structured Controlled Partial Metric Spaces with Applications to Integral Equations
type: item
description: In this paper, we introduce and investigate a new class of mappings called generalised graph \phi-contractions within the setting of Generalised Hausdorff Controlled Partial Metric (GHCPM) spaces. This framework integrates the structure of a graph with a controlled partial metric, providing a natural generalization of classical fixed point theories. Our study extends previous results by incorporating mappings defined on collections of non-empty closed and bounded subsets of a GHCPM space, and introducing contractive conditions governed by an upper semi-continuous and non-monotonic function. By leveraging the graph structure on GHCPM, we define a generalised graph contraction as a mapping that respects the connectivity induced by the graph while satisfying a contractive inequality involving the Hausdorff controlled partial metric. We establish novel fixed point theorems for such contractions, which unify and extend several existing results in the literature. To illustrate the applicability and generality of our results, we demonstrate the existence of solutions for nonlinear integral equations of Fredholm type. Concrete examples demonstrating the existence of fixed points under the proposed framework are also provided. These results open new directions in the study of fixed point theory in generalized metric spaces with additional structure.
subject: Articles
  topic: section
subject: Digraph structure
  topic: keywords
subject: Fixed point theorems
  topic: keywords
subject: Multivalued mappings
  topic: keywords
subject: Pompeiu-hausdorff metric
  topic: keywords
subject: Nonlinear integral equations
  topic: keywords
subject: Controlled partial metric spaces
  topic: keywords
subject: Generalised graph\phi-contractions
  topic: keywords
creator: John Pamba
creator: Hamilton Chirwa
creator: Yolam Sakala
creator: Alex Samuel Mungo
rights: Copyright (c) 2025 John Pamba, Hamilton Chirwa, Yolam Sakala, Alex Mungo https://creativecommons.org/licenses/by-nc/4.0
date: 2025-11-28
publication date: 2025-11-28
starting page: 121
ending page: 142
doi: 10.15377/2409-5761.2025.12.9

A Mathematical Model for the Saturation Effects of Radiotherapy with Oscillating Tumor Density
type: item
description: In the present-day society, cancer has become a challenge that threatens millions of human lives and causes many deaths. Throughout this research, we have developed a mathematical model to describe the radiotherapy treatment. There is a competition between tumor cells and normal cells; we use Lotka-Volterra dynamics to represent that biological idea in a mathematical model. In radiotherapy, ionizing particles attack the DNA of both tumor cells and normal cells. This process occurs in a medium with oxygenated tissues, and it has a saturation level. Previous researchers have not considered the saturation effects of radiotherapy in their models; however, our model incorporates the Michaelis-Menten term to represent these effects, which is the main novelty in this research with respect to previous works. We assume that other reactions are occurring according to the Mass Action Law, and also that radiotherapy targets both tumor cells and normal cells with the same intensity. First, we conduct a stability analysis of the system and then simulate the system by using time series analysis. We observed that in most cases, a stable equilibrium point can occur or periodic behavior may emerge in the population levels. By conducting a local sensitivity analysis, we identified the most sensitive parameters important in clinical treatments. We then conduct a bifurcation analysis for the most sensitive parameters, observing critical values for these parameters that must be maintained within a specific range to achieve an optimal treatment outcome. Primarily, we investigated the optimal range for the killing rate of tumor cells and discussed how the half-saturation constant effects therapy. These results will be crucial for achieving better clinical outcomes in radiotherapy.
subject: Articles
  topic: section
subject: Ionizing
  topic: keywords
subject: Oxygenated
  topic: keywords
subject: Radiotherapy
  topic: keywords
subject: Saturation effects
  topic: keywords
subject: Mathematical model
  topic: keywords
creator: G.V.R.K. Vithanage
creator: A.R.M. Hasini Parami Wattetenne
creator: K.A. Nirupadhi Divyanjali Jayakody
creator: M. Sawani Dhanushika
creator: Sachith Dassanayaka
rights: Copyright (c) 2025 G.V.R.K. Vithanage, A.R.M. Hasini Parami Wattetenne, K.A. Nirupadhi Divyanjali Jayakody, M. Sawani Dhanushika, Sachith Dassanayaka https://creativecommons.org/licenses/by-nc/4.0
date: 2025-10-19
publication date: 2025-10-19
starting page: 107
ending page: 120
doi: 10.15377/2409-5761.2025.12.8

Convergence of θ-Milstein Method for Stochastic Differential Equations Driven by G-Brownian Motion
type: item
description: Although numerical methods for classical stochastic differential equations (SDEs) driven by Brownian motion are well-established, research on numerical schemes for SDEs driven by G-Brownian motion (referred to as G-SDEs) remains limited. Most existing studies are confined to Euler-Maruyama-type methods, which achieve only a strong convergence order of one-half. To bridge this gap, this paper aims to develop higher-order numerical methods for G-SDEs. By combining the classical Milstein method with the G-Itô formula, we propose a novel θ-Milstein scheme for G-SDEs. Using tools from G-expectation theory and Taylor expansions, we prove that the proposed scheme achieves a strong convergence order of one under the Lr-norm, assuming Lipschitz conditions. Numerical experiments demonstrate that the θ-Milstein method yields smaller errors and attains a higher convergence order compared to the Euler-Maruyama method, confirming its effectiveness and potential for advancing numerical solutions of G-SDEs.
subject: Articles
  topic: section
subject: Lipschitz condition
  topic: keywords
subject: θ-Milstein scheme
  topic: keywords
subject: G-Brownian motion
  topic: keywords
subject: Strong convergence
  topic: keywords
subject: Stochastic differential equations
  topic: keywords
creator: Shounian Deng
creator: Bo Shen
creator: Weiyin Fei
rights: Copyright (c) 2025 Shounian Deng, Bo Shen, Weiyin Fei https://creativecommons.org/licenses/by-nc/4.0
date: 2025-10-03
publication date: 2025-10-03
starting page: 82
ending page: 106
doi: 10.15377/2409-5761.2025.12.7

Abstract Dirichlet Problem for Elliptic System on Corner Domain
type: item
description: In this paper, we analyze abstract Dirichlet problem for elliptic system set on singular corner domain. We investigate the existence and uniqueness of strict solutions to the above problem using da Prato-Grisvard theory. The study is performed in the framework of little Hölder spaces.
subject: Articles
  topic: section
subject: Da Prato-Grisvard theory
  topic: keywords
subject: Abstract Dirichlet problems
  topic: keywords
subject: Elliptic systems on corner domains
  topic: keywords
creator: Belkacem Chaouchi
creator: Marko Kostic
creator: Daniel Velinov
rights: Copyright (c) 2025 Belkacem Chaouchi, Marko Kostic, Daniel Velinov https://creativecommons.org/licenses/by-nc/4.0
date: 2025-09-17
publication date: 2025-09-17
starting page: 72
ending page: 81
doi: 10.15377/2409-5761.2025.12.6

Hopf Bifurcation of a Delay Commensalism System with Density Dependent Birth Rates
type: item
description: In ecology, commensalism and amensalism models are two kinds of important and interesting models. They have attracted much attention of ecologists and mathematicians in recent years. In this paper, we consider a two-species commensalism system with a discrete delay and density dependent birth rates. First, we investigate the characteristic equation of the proposed system and study the distribution of its roots. We obtain that, when the delay is sufficiently small, the positive equilibrium is locally asymptotically stable, when increases to a critical value, the positive equilibrium loses its stability and a Hopf bifurcation occurs, as continues to increase, a family of periodic solutions bifurcate from the positive equilibrium. Then, by using the normal form theory and the center manifold theorem, we derive the precise formulae to determine the Hopf bifurcation direction and the stability of the bifurcating periodic solutions. Numerical simulation results are included to support our theoretical analysis. We plot the trajectory graphs on , plane respectively. We also plot phase graphs to illustrate the change of stability of the positive equilibrium and arise of periodic solution. In order to fully validate the occurrence of Hopf bifurcation, we use the numerical continuation package DDE-Biftool to generate bifurcation diagrams and accurately track stability changes of the positive equilibrium and periodic solution with respect to the delay parameter . The commensalism model we propose considers both density dependent birth rate and time delay, it is of great practical and theoretical significance. The theoretical and numerical analysis that we do on the proposed system can make a supplement to the literature on the dynamics of delay commensalism systems. 2020 MSC: 34K18, 34K20, 92D25
subject: Articles
  topic: section
subject: Time delay
  topic: keywords
subject: Hopf bifurcation
  topic: keywords
subject: Density dependent birth rates
  topic: keywords
subject: A two-species commensalism system
  topic: keywords
creator: Tianyang Li
creator: Qiru Wang
rights: Copyright (c) 2025 Tianyang Li, Qiru Wang https://creativecommons.org/licenses/by-nc/4.0
date: 2025-08-28
publication date: 2025-08-28
starting page: 56
ending page: 71
doi: 10.15377/2409-5761.2025.12.5

Vector Lattice Data Analysis: Fitting and Model Uncertainty
type: item
description: Functional data analysis (FDA) is a popular research area of data analysis that is well-suited for modeling complex data structures such as time series data and images. In Linear Regression models, the random variables are often described using a finite--dimensional vector space, under the assumption that the random variables are represented by a finite set of parameters. FDA allows us to model random variables as functions. This can lead to a more flexible and expressive approach to the statistical model. Within FDA, the specific paper investigates the potential of vector lattices to enhance model flexibility and address model uncertainty. The limitations of finite-dimensional vector spaces in capturing the complexities of real-world random variables are discussed. An investigation is conducted into the concept of Vector Lattice Linear Regression Models (VLLM), highlighting their ability to effectively handle model uncertainty.
subject: Articles
  topic: section
subject: Vector lattices
  topic: keywords
subject: Model uncertainty
  topic: keywords
subject: Functional data analysis
  topic: keywords
creator: Christos Kountzakis
creator: Amani Almohaimeed
rights: Copyright (c) 2025 Christos Kountzakis, Amani Almohaimeed https://creativecommons.org/licenses/by-nc/4.0
date: 2025-08-06
publication date: 2025-08-06
starting page: 47
ending page: 55
doi: 10.15377/2409-5761.2025.12.4

Mathematical Modelling of the Health Impact of Air Pollution from Figuil Cement and Marble Works on the Respiratory System of the Local Population
type: item
description: Air pollution notably stemming from cement and marble industries has been identified as a significant factor contributing to deteriorating respiratory health in regions of high industrial density. Figuil region in northern Cameroon suffers a disturbing health impact from industrial facilities emitting fine particulate matter and sulphur dioxide heavily. Quantitatively assessing effect of pollutants on health of local populations remains primary objective of this somewhat obscure study mercifully. A mathematical model derived from SEIR model incorporates atmospheric pollutant concentrations as environmental forcing variables rather effectively nowadays. Innovation here integrates environmental epidemiological and demographic data dynamically into a spatio-temporal modelling framework enabling fairly accurate estimation of various exposure risks. Numerical simulations revealed a statistically significant correlation between peaks in PM₂.₅/SO₂ concentrations and increased cases of chronic bronchitis asthma and pneumonia during dry season. Regions near industrial sites show 2.8 times higher health risk compared with areas far away from such polluting facilities. Targeted public health interventions and industrial regulation are badly needed as underscored by these quite revealing data mercifully. Study proposes various mitigation measures including enhanced air quality monitoring around industrial sites and implementation of rather efficient filtration systems.
subject: Articles
  topic: section
subject: Air pollution
  topic: keywords
subject: Respiratory health
  topic: keywords
subject: Industrial emissions
  topic: keywords
subject: Mathematical modeling
  topic: keywords
subject: Particulate matter (PM₂.₅)
  topic: keywords
creator: Kikmo Wilba Christophe
creator: Abanda Andre
rights: Copyright (c) 2025 Kikmo Wilba Christophe, Abanda Andre https://creativecommons.org/licenses/by-nc/4.0
date: 2025-06-25
publication date: 2025-06-25
starting page: 29
ending page: 46
doi: 10.15377/2409-5761.2025.12.3

Mathematical Modelling and Numerical Simulation of Hydrodynamics with Flood Mitigation Strategies in the Mayo-Danay Department of Cameroon's Far North Region
type: item
description: Flooding is the main structural problem faced by the Mayo-Danay department in the Far North Region of Cameroon, aggravated by climate change impacts, upstream deforestation, and the development and lack of maintenance of hydraulic infrastructure. This paper presents a new approach to develop a two-dimensional mathematical modelling combined with an advanced numerical simulation of hydrodynamics along the Logone River. The key originality aspect of this work lies in incorporating dynamic dyke breach scenarios together with seasonal real-time rainfall data allowing accurate flood propagation prediction at vital intervals. Flood risk mapping involves combining hydrodynamic behavior with topographic vulnerability parameters thus revealing areas under high risk. Detailed post-judgment analysis on Logone earthen dyke breach shows its highly destructive potential thereby emphasizing quite strongly the necessity for prevention strategies. Additionally, it evaluates sanitation infrastructure coupled with stormwater management through integrated urban drainage systems within this context. A preamble to what must be conceived as an exhaustive agenda for action is given by some recommendations: strengthening up Kousseri of the hydrometeorological network; satellite data and local observations complementing early warning systems; sustainable approaches that are reforested and integrated watershed managements done in parallelism with one another. The innovation lies in sophisticated digital and geospatial methodologies associated with territorial resilience strategies tailored to sub-Saharan contexts; this can be applied elsewhere where similar hydrological dynamics occur, thus providing a sound basis for scientific as well as political decision-making.
subject: Articles
  topic: section
subject: Flood risk modelling
  topic: keywords
subject: Real-time rainfall data
  topic: keywords
subject: Dyke breach scenarios
  topic: keywords
subject: Hydrodynamic simulation
  topic: keywords
subject: Integrated drainage systems
  topic: keywords
subject: Territorial resilience strategies
  topic: keywords
subject: Topographic vulnerability mapping
  topic: keywords
creator: Kikmo Wilba Christophe
creator: Langola Olivier
creator: Abanda Andre
rights: Copyright (c) 2025 Kikmo Wilba Christophe, Langola Olivier, Abanda Andre https://creativecommons.org/licenses/by-nc/4.0
date: 2025-06-25
publication date: 2025-06-25
starting page: 13
ending page: 28
doi: 10.15377/2409-5761.2025.12.2

Double Parametric Based Solution of Fuzzy Volterra Integral Equations with Separable Type Kernels
type: item
description: This paper presents a new approach for solving fuzzy Volterra integral equations with separable type kernels. Here triangular and trapezoidal fuzzy numbers are considered for the analysis. In general, the existing approaches first defuzzify the fuzzy integral equation into a crisp system of integral equations or two different crisp integral equations using the concept of fuzzy arithmetic. Then they solved them to obtain the lower and upper bounds of the fuzzy solution. However, using the proposed technique one has to solve only one crisp integral equation which is obtained by using the concept of double parametric form of fuzzy numbers. This makes the proposed approach more computationally efficient. Laplace Adomian Decomposition Method (LADM) has been implemented here to obtain the solution in double parametric form. The usefulness, and practicality of this method are demonstrated through various examples.
subject: Articles
  topic: section
subject: Fuzzy number
  topic: keywords
subject: Fuzzy Volterra integral equations
  topic: keywords
subject: Laplace adomian decomposition method
  topic: keywords
subject: Double parametric form of fuzzy numbers
  topic: keywords
creator: Dennis Xavier
creator: Diptiranjan Behera
creator: Santhi Dennis Xavier
rights: Copyright (c) 2025 Dennis Xavier, Diptiranjan Behera, Santhi Dennis Xavier https://creativecommons.org/licenses/by-nc/4.0
date: 2025-03-29
publication date: 2025-03-29
starting page: 1
ending page: 12
doi: 10.15377/2409-5761.2025.12.1

On Continuities via P-Statistical Convergence
type: item
description: This study investigates the concepts of P-statistical continuity (statistical continuity with respect to power series method) and P-statistical ward continuity (statistical ward continuity with respect to power series method) within the framework of power series methods, which extend the scope of statistical convergence beyond classical matrix methods. In the background, the limitations of traditional methods in capturing generalized continuity behaviors are explored and the use of power series as a versatile tool is motivated. Connections between these specialized forms of continuity and standard continuity are established, providing proofs and detailed properties. The results include several foundational theorems characterizing P-statistical continuity and ward continuity under various settings. These findings contribute to a more profound comprehension of continuity concepts within the context of regular summability methods. MSC: 26A15, 40A05, 40G10.
subject: Articles
  topic: section
subject: Continuity
  topic: keywords
subject: Power series method
  topic: keywords
subject: Statistical convergence
  topic: keywords
subject: P-statistical convergence
  topic: keywords
subject: P-statistical ward continuity
  topic: keywords
creator: Sevda Yıldız
creator: Kamil Demirci
rights: Copyright (c) 2024 Sevda Yıldız, Kamil Demirci https://creativecommons.org/licenses/by-nc/4.0
date: 2024-12-18
publication date: 2024-12-18
starting page: 129
ending page: 139
doi: 10.15377/2409-5761.2024.11.8

Fractional Inequalities for Exponentially s-Convex Functions on Time Scales
type: item
description: In this paper, we present new integral inequalities involving exponentially s-convex functions in the second sense on time scales. By utilizing the delta Riemann-Liouville fractional integral and the fractional Taylor formula, we establish upper bounds for functions that are n-times rd-continuously Δ-differentiable with exponentially s-convex properties. Our results provide novel insights into the theory of time scales, bridging the gap between discrete and continuous calculus. The application of fractional calculus on time scales is explored, and several well-known inequalities are employed to derive the main findings. These results have potential implications for further studies in fractional dynamic calculus and other related fields. AMS Subject Classification: 39A10, 39A11, 39A20.
subject: Articles
  topic: section
subject: Time scales
  topic: keywords
subject: Fractional taylor formula
  topic: keywords
subject: Delta-riemann-liouville integral
  topic: keywords
subject: Exponentially s-convex functions
  topic: keywords
creator: Svetlin G. Georgiev
creator: Vahid Darvish
rights: Copyright (c) 2024 Svetlin G. Georgiev, Vahid Darvish https://creativecommons.org/licenses/by-nc/4.0
date: 2024-12-15
publication date: 2024-12-15
starting page: 119
ending page: 128
doi: 10.15377/2409-5761.2024.11.7

Forecasting Non-stationary Time Series Using Deep Learning in a Fuzzy Time Series Framework and its Application to Stock Markets
type: item
description: Non-stationary time series prediction is challenging due to its dynamic and complex nature. Fuzzy time series models offer a promising solution for forecasting such data, but a key challenge lies in partitioning the universe of discourse, which significantly impacts forecasting accuracy. Traditional fuzzy time series models often use equal-length interval partitioning, which is more suited for stationary data and limits their adaptability to non-stationary time series. This paper introduces a novel variable-length interval partitioning method designed specifically for non-stationary time series. The developed method combines a Long Short-Term Memory (LSTM) Autoencoder with K-means clustering, enabling dynamic, data-driven partitioning that adapts to the changing characteristics of the data. The LSTM Autoencoder encodes the time series, which is clustered using K-means, and intervals are defined based on cluster centers. Furthermore, the Variable Length Interval Partitioning-based Fuzzy Time Series model (VLIFTS) is developed by incorporating this partitioning method and the concepts of Markov chain and transition probability matrix. In this model, fuzzy sets are viewed as states of a Markov chain, and transition probabilities are used in the forecasting phase. The model is validated on stock market indices Nifty 50, NASDAQ, S&P 500, and Dow Jones. Stationarity and heteroscedasticity are tested using Augmented Dickey-Fuller (ADF) and Levene's tests respectively. Statistical forecast accuracy metrics Root Mean Squared Error (RMSE) and Mean Absolute Percent Error (MAPE) show that VLIFTS significantly improves forecasting accuracy over traditional models. This hybrid approach enhances fuzzy time series modelling and can be applied to various non-stationary time series forecasting problems.
subject: Articles
  topic: section
subject: Stock market
  topic: keywords
subject: Deep learning
  topic: keywords
subject: Fuzzy time series
  topic: keywords
subject: Universe of discourse
  topic: keywords
subject: Non-stationary time series
  topic: keywords
subject: Variable-length interval partitioning
  topic: keywords
creator: Abdul J. Saleena
creator: John C. Jessy
creator: M.C. Lineesh
rights: Copyright (c) 2024 Abdul J. Saleena, John C. Jessy , M.C. Lineesh https://creativecommons.org/licenses/by-nc/4.0
date: 2024-10-09
publication date: 2024-10-09
starting page: 100
ending page: 118
doi: 10.15377/2409-5761.2024.11.6

A Study of an EOQ Model of Deteriorated Items with Pentagonal Dense Fuzzy Demand Rate
type: item
description: In this project work, we deal with an economic order quantity inventory model of deteriorating items under non-random uncertain demand. Here we consider the customers screen the fresh items during the selling period. After a certain period of time, the deteriorated items are sold at a discounted price. Firstly, we solve the crisp model, and then the model is converted into a fuzzy environment. Here we consider the pentagonal dense fuzzy, trapezoidal dense fuzzy, and triangular dense fuzzy for a comparative study. We have taken the numerical result using LINGO 18.0 software. Finally, sensitivity analysis and graphical illustration have been given to check the validity of the model.
subject: Articles
  topic: section
subject: EOQ model
  topic: keywords
subject: Optimization
  topic: keywords
subject: Triangular dense fuzzy
  topic: keywords
subject: Pentagonal dense fuzzy
  topic: keywords
subject: Trapezoidal dense fuzzy
  topic: keywords
creator: Aparna Maity
creator: Jayeeta Hazra
creator: Karuna K. Pal
rights: Copyright (c) 2024 Aparna Maity, Jayeeta Hazra, Karuna K. Pal https://creativecommons.org/licenses/by-nc/4.0
date: 2024-07-08
publication date: 2024-07-08
starting page: 17
ending page: 29
doi: 10.15377/2409-5761.2024.11.2

Sign-changing Solutions for Fourth Order Elliptic Equation with Concave-convex Nonlinearities
type: item
description: In this paper, we study the following fourth order elliptic equation: Δ²u - Δu + V(x)u = κ(x)|u|q-2u + |u|p-2u in RN, where Δ² := Δ(Δ) is the biharmonic operator, 4 > N, 1 < q < 2 < p < 2* := 2N / (N - 4). Assuming that V(x) satisfies a class of coercive conditions and the nonnegative weighted function κ(x) belongs to Lp / (p-q)(RN), we obtain the existence of one sign-changing solution with the help of constraint variational method and quantitative deformation lemma. The novelty of this paper is that when the nonlinearity is the combination of concave and convex functions, we are able to obtain the existence of sign-changing solutions. Some recent results are improved and generalized significantly.
subject: Articles
  topic: section
subject: Sign-changing solutions
  topic: keywords
subject: Fourth order elliptic equation
  topic: keywords
subject: Constraint variational method
  topic: keywords
subject: Concave-convex nonlinearities
  topic: keywords
subject: Quantitative deformation lemma
  topic: keywords
creator: Danni Zhang
creator: Ziheng Zhang
rights: Copyright (c) 2024 Danni Zhang, Ziheng Zhang https://creativecommons.org/licenses/by-nc/4.0
date: 2024-07-08
publication date: 2024-07-08
starting page: 1
ending page: 16
doi: 10.15377/2409-5761.2024.11.1

Certain Fixed Point Results via Contraction Mappings in Neutrosophic Semi-Metric Spaces
type: item
description: In this work, the authors introduce the concept of neutrosophic semi-metric spaces and prove several common fixed-point theorems for countable and uncountable family of mappings via an implicit relation of contractive and integral type by utilizing locally integrable functions. These results improve and generalize the several results in the existing literature. Further, the authors present some non-trivial examples to support our main results. Mathematics Subject Classification: 46S40, 47H10, 54H25.
subject: Articles
  topic: section
subject: Algorithms
  topic: keywords
subject: mathematical operators
  topic: keywords
subject: Common fixed point (FP)
  topic: keywords
subject: Neutrosophic metric space
  topic: keywords
subject: Occasionally weak compatibility
  topic: keywords
creator: Tayyab Kamran
creator: Umar Ishtiaq
creator: Khaleel Ahmad
creator: Ghulam Murtaza
creator: Ioannis Argyros
rights: Copyright (c) 2024 Tayyab Kamran, Umar Ishtiaq, Khaleel Ahmad, Ghulam Murtaza, Ioannis Argyros https://creativecommons.org/licenses/by-nc/4.0
date: 2024-08-14
publication date: 2024-08-14
starting page: 30
ending page: 71
doi: 10.15377/2409-5761.2024.11.3

Enhancing Fruit Tree Yield Prediction with an Optimized Grey Neural Network Model Using the Fruit Fly Algorithm
type: item
description: This article first integrates data on fruit tree yield and related influencing factors in Fujian Province, covering two major categories of factors: social and natural. On this basis, this article calculated the correlation coefficients between fruit tree yield and various factors, verifying the rationality of indicator selection. Subsequently, this article used a combination of grey model GM (1,1), BP neural network model, and fruit fly algorithm to optimize the grey model and neural network for fruit tree yield prediction. In the end, based on the research results, it was found that the combination model of fruit fly algorithm optimized grey model and neural network has a better prediction effect on fruit tree yield, which is more suitable for us to deeply understand the changes in fruit tree yield. It can also be well trained for relatively random natural factors.
subject: Articles
  topic: section
subject: Fruit tree yield
  topic: keywords
subject: BP neural network
  topic: keywords
subject: Combination model
  topic: keywords
subject: Drosophila algorithm
  topic: keywords
subject: Grey prediction model
  topic: keywords
creator: Lingfeng Huang
creator: Litao Guo
rights: Copyright (c) 2024 Lingfeng Huang, Litao Guo https://creativecommons.org/licenses/by-nc/4.0
date: 2024-08-14
publication date: 2024-08-14
starting page: 72
ending page: 83
doi: 10.15377/2409-5761.2024.11.4

W2,p-Regularity of Lp Viscosity Solutions to Fully Nonlinear Elliptic Equations with Low-Order Terms
type: item
description: In this paper, we consider the following fully nonlinear elliptic equation F(D2u, Du, x) = f(x), where the operator F satisfies structure condition and the gradient of solution has Lploc growth rate particularly. We employ the technique from geometric tangential analysis whose basic principle is to transfer the good regularity of the recession operator to the original F by approximation methods and establish a prior local W2,p estimates for - Lp-viscosity solutions to the above equation. Mathematics Subject classification (2010): 35B45; 35R05; 35B65.
subject: Articles
  topic: section
subject: Recession operator
  topic: keywords
subject: Geometric tangential analysis
  topic: keywords
subject: Regularity of viscosity solutions
  topic: keywords
subject: Fully nonlinear elliptic equation
  topic: keywords
creator: Shuhan Hao
creator: Yao Zhang
creator: Zhenqiu Zhang
rights: Copyright (c) 2024 Shuhan Hao, Yao Zhang, Zhenqiu Zhang https://creativecommons.org/licenses/by-nc/4.0
date: 2024-08-14
publication date: 2024-08-14
starting page: 84
ending page: 99
doi: 10.15377/2409-5761.2024.11.5

Biomagnetic Fluid Flow on a Nonlinearly Stretching Sheet with Variable Thickness in a Magnetic Environment
type: item
description: The main contribution of the current work is a numerical and mathematical investigation of the effects of magnetic dipole and electrical conductivity on the heat and flow transfer of biomagnetic fluid over a non-linear stretched sheet with variable thickness. Static magnetic fields are produced by magnetic dipoles, which are used in medical a pplications such as MRI, drug administration, and cancer therapy. Additionally, the impact of non-linear heat source/sink features was examined in the study, leading to an interesting phenomenon. The PDEs are attenuated to nonlinear ODEs with dealing appropriate similarity variables. These resultant ODEs are computed by developing an effective method emerged on the application of the finite differences technique. In the end, this section offers a summary of the implications resulting from different physical limitations on blood flow, including variable thickness and power index effects. It was discovered that the rise in Kelvin and Lorentz forces in the boundary layer significantly affected blood flow. The current findings for the biomagnetic fluid model are novel and inventive since they effectively expand upon the issues previously addressed by previously published scientific documentation.
subject: Articles
  topic: section
subject: Ferrofluid
  topic: keywords
subject: Magnetization
  topic: keywords
subject: Stretching sheet
  topic: keywords
subject: Biomagnetic fluid
  topic: keywords
subject: Variable thickness
  topic: keywords
creator: Md. Ghulam Murtaza
creator: Jagadis C. Misra
creator: Efstratios E. Tzirtzilakis
creator: Mohammad Ferdows
rights: Copyright (c) 2023 Md. Ghulam Murtaza, Jagadis C. Misra, Efstratios E. Tzirtzilakis, Mohammad Ferdows https://creativecommons.org/licenses/by-nc/4.0
date: 2023-12-29
publication date: 2023-12-29
starting page: 163
ending page: 177
doi: 10.15377/2409-5761.2023.10.14

Generalized Rational Type Contraction and Fixed Point Theorems in Partially Ordered Metric Spaces
type: item
description: In this article, we establish the existence and uniqueness of fixed points for rational type contraction mappings in a metric space that is equipped with a partial order. Our results are shown to improve upon previous results in the literature, and we provide illustrative examples to demonstrate the effectiveness of our approach. Mathematics Subject Classification: 47H10; 54H25.
subject: Articles
  topic: section
subject: Fixed point
  topic: keywords
subject: Metric spaces
  topic: keywords
subject: Well ordered set
  topic: keywords
subject: Rational contractions
  topic: keywords
subject: Partially ordered metric space
  topic: keywords
creator: Muhammed Raji
creator: Laxmi Rathour
creator: Lakshmi N. Mishra
creator: Vishnu N. Mishra
rights: Copyright (c) 2023 Muhammed Raji, Laxmi Rathour, Lakshmi N. Mishra, Vishnu N. Mishra https://creativecommons.org/licenses/by-nc/4.0
date: 2023-12-30
publication date: 2023-12-30
starting page: 153
ending page: 162
doi: 10.15377/2409-5761.2023.10.13

Solving System of Mixed Ordered Variational Inequalities Involving XOR and XNOR Operations in Ordered Product Banach Space
type: item
description: In this article, we study a generalized system of mixed ordered variational inequalities problems with various operations in a real ordered product Banach space and discuss the existence of the solution of our considered problem. Further, we discuss the convergence analysis of the proposed iterative algorithm using XNOR and XOR operations techniques. Most of the variational inequalities solved by the projection operator technique but we solved our considered problem without the projection technique. The results of this paper are more general and new than others in this direction. Finally, we give a numerical example to illustrate and show the convergence of the proposed algorithm in support of our main result has been formulated by using MATLAB programming. 2010 AMS Subject Classification: 47H09; 49J40.
subject: Articles
  topic: section
subject: Existence
  topic: keywords
subject: Operations
  topic: keywords
subject: Convergence
  topic: keywords
subject: Lipschitz continuous
  topic: keywords
subject: J-restricted accretive mapping
  topic: keywords
creator: Iqbal Ahmad
creator: Mohammad Farid
creator: Syed S. Irfan
rights: Copyright (c) 2023 Iqbal Ahmad, Mohammad Farid, Syed S. Irfan https://creativecommons.org/licenses/by-nc/4.0
date: 2023-12-29
publication date: 2023-12-29
starting page: 137
ending page: 152
doi: 10.15377/2409-5761.2023.10.12

Analysis of Functional and Neutral Differential Equations via Lyapunov Functionals
type: item
description: We employ Lyapunov types functions and functionals and obtain sufficient conditions that guarantee the boundedness and the exponential decay of solutions, stability and exponential stability of the zero solution in nonlinear delay and neutral differential systems. The theory is illustrated with several examples. 2000 Mathematics Subject Classification: Primary 39A13, 39A23; Secondary 34K42
subject: Articles
  topic: section
subject: Neutral
  topic: keywords
subject: Infinite delay
  topic: keywords
subject: Boundedness
  topic: keywords
subject: Functional delay
  topic: keywords
subject: Exponential stability
  topic: keywords
subject: Lyapunov functionals
  topic: keywords
creator: Youssef N. Raffoul
rights: Copyright (c) 2023 Youssef N. Raffoul https://creativecommons.org/licenses/by-nc/4.0
date: 2023-12-29
publication date: 2023-12-29
starting page: 120
ending page: 136
doi: 10.15377/2409-5761.2023.10.11

A New Approach of Milne-type Inequalities Based on Proportional Caputo-Hybrid Operator
type: item
description: In this study, we first offer a novel integral identity using twice-differentiable convex mappings for the proportional Caputo-hybrid operator. Next, we demonstrate many integral inequalities related to the Milne-type integral inequalities for proportional Caputo-hybrid operator with the use of this newly discovered identity. Also, we present several examples along with their corresponding graphs in order to provide a better understanding of the newly obtained inequalities. Finally, we observe that the obtained results improve and generalize some of the previous results in the area of integral inequalities. 2010 Mathematics Subject Classification. 26D07, 26D10, 26A33
subject: Articles
  topic: section
subject: Convex functions
  topic: keywords
subject: Fractional integrals
  topic: keywords
subject: Milne-type inequalities
  topic: keywords
subject: Proportional caputo-hybrid operator
  topic: keywords
creator: İzzettin Demir
rights: Copyright (c) 2023 İzzettin Demir https://creativecommons.org/licenses/by-nc/4.0
date: 2023-12-28
publication date: 2023-12-28
starting page: 102
ending page: 119
doi: 10.15377/2409-5761.2023.10.10

Generalized Legendre Polynomial Configuration Method for Solving Numerical Solutions of Fractional Pantograph Delay Differential Equations
type: item
description: This paper develops a numerical approach for solving fractional pantograph delay differential equations using generalized Legendre polynomials. These polynomials are derived from generalized Taylor bases, which facilitate the approximation of the underlying analytical solutions, leading to the formulation of numerical solutions. The fractional pantograph delay differential equation is then transformed into a finite set of nonlinear algebraic equations using collocation points. Following this step, Newton's iterative method is applied to the resultant set of nonlinear algebraic equations to compute their numerical solutions. An error analysis for this methodology is subsequently presented, accompanied by numerical examples demonstrating its accuracy and efficiency. Overall, this study contributes a more streamlined and productive tool for determining the numerical solution of fractional differential equations.
subject: Articles
  topic: section
subject: Caputo fractional derivatives
  topic: keywords
subject: Generalized legendre polynomial
  topic: keywords
subject: Delay fractional differential equations
  topic: keywords
creator: Xueying Cui
creator: Yuqiang Feng
creator: Jun Jiang
rights: Copyright (c) 2023 Xueying Cui, Yuqiang Feng, Jun Jiang https://creativecommons.org/licenses/by-nc/4.0
date: 2023-12-27
publication date: 2023-12-27
starting page: 88
ending page: 101
doi: 10.15377/2409-5761.2023.10.9

Landslide Hazard Assessment Model for Slope Stability Analysis
type: item
description: Soil moisture dynamics is a complex phenomenon that depends on the atmospheric conditions, the geomorphological characteristics of the region under study, and the corresponding land use. It can be formally described by a diffusion model based on Darcy’s law and the law of mass continuity. In this work, the obtained numerical solution of the hydrological model has been exploited to evaluate the soil moisture in a given region and build a risk map for the slope stability of this region. More in detail, the infinite slope model from slope stability analysis has been used for evaluating the safety factor and constructing the corresponding quantitative hazard maps. Some results of the proposed method applied to a real case study are shown and discussed.
subject: Articles
  topic: section
subject: Sliding
  topic: keywords
subject: Slope stability
  topic: keywords
subject: Factor of safety
  topic: keywords
subject: Limit equilibrium analysis
  topic: keywords
creator: Giulia De Santis
creator: Nadaniela Egidi
creator: Josephin Giacomini
creator: Eleonora Gioia
creator: Pierluigi Maponi
creator: Lorenza Spadoni
rights: Copyright (c) 2023 Giulia De Santis, Nadaniela Egidi, Josephin Giacomini, Eleonora Gioia, Pierluigi Maponi, Lorenza Spadoni https://creativecommons.org/licenses/by-nc/4.0
date: 2023-11-01
publication date: 2023-11-01
starting page: 77
ending page: 87
doi: 10.15377/2409-5761.2023.10.8