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International Journal of Mathematics and Mathematical Sciences
Scopus
ISSN 0161-1712 · Wiley · 5.458 artikel di indeks
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Artikel Jurnal
Comparison of Integer-, Constant-, and Variable-Order Fractional Models of Competition for Student Population Using Caputo–Fabrizio Fractional Derivative With Policy Interventions
This study develops constant-order (CO) and variable-order (VO) Caputo–Fabrizio (CF) fractional derivative (CFFD) models to extend the classical integer-order framework for analyzing competition among public, private, and nonenrolled student populations under varying policy intervention…
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The Influence of Behavioral Dynamics on Clean Water Utilization and Treatment in Cholera Epidemic Control
This study develops an susceptible–bacteria–infected–treatment–recovered (SBITR) epidemic model that integrates evolutionary game theory to investigate the role of behavioral dynamics in cholera control. Unlike previous works that primarily focus on vaccination or sanitation measures, our model…
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New Best Proximity Point Results for Generalized Multivalued F− Proximal Contractions in Partial b− Metric Spaces
In this paper, we introduce generalized multivalued F− proximal contraction mappings in the framework of partial b− metric spaces and prove some best proximity point results for such mappings. We also establish best proximity point theorems for multivalued F− proximal contraction mapping involving…
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Composition Formula for Saigo Fractional Calculus Operator on p R q Function
In this paper, we use the Saigo operators to create fractional integral and derivative formulations involving the generalized p R q function. The resulting expressions are represented using generalized Wright hypergeometric functions. We develop various results for fractional integrals and…
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Constructing a Set of Kronecker–Pauli Matrices
In quantum physics, the choice of basis is crucial for formulation. The generalization of the Pauli matrices via the Kronecker product, known as Pauli strings, is typically restricted to 2n-dimensional systems. This paper explores extending this generalization to n-dimensional systems, where n is…
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A Mathematical Framework for the Transmission Dynamics and Optimal Control of HCV-HIV Coinfection and Superinfection
This paper proposes a compartmental mathematical model to study the transmission dynamics of coinfection and superinfection caused by HCV-HIV. Initially, the model is analyzed without any control measure. The disease-free and endemic equilibrium points are determined, and also their local and…
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Assessing the effectiveness of Vertex- and Edge-Degree-Based Topological Indices for Modeling Physical Properties of Mononuclear Aromatic Hydrocarbons
There are many physical properties of mononuclear aromatic hydrocarbons (MAHs) are primarily governed by their environmental behavior, which affects their stability and activity with themselves or with other biological and environmental systems. This study revealed the predictive potential of…
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Artikel Jurnal
Sharp Best Proximity Point Results for Multivalued Operators in Extended Rectangular b-Metric Spaces
In this paper, we propose a novel extension of generalized distance, which we call the θ-extended rectangular b-generalized pseudo-distance. This new concept generalizes and unifies several known notions of distance by incorporating a parameter θ, along with the framework of rectangular b-metric…
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A Lucas Operational Matrix Method for Solving Nonlinear Fractional Two-Dimensional Partial Volterra Integral Equations
This paper introduces a new numerical method for solving a class of two-dimensional fractional partial Volterra integral equations (2DFPVIEs). Our approach uses Lucas polynomials (LPs) to construct operational matrices (OMs) that effectively transform the complex fractional-order equations into a…
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Composition Formula for Saigo Fractional q-Calculus Operator for the q-Analogue of the H-Function
The purpose of this paper is to investigate key properties of Saigo’s fractional q-integral and q-derivative operators involving the q-analogue of Fox’s H-function. We establish four main theorems describing the action of Saigo-type fractional q-operators on generalised power functions expressed in…
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Artikel Jurnal
On Wiener Index for Generalised Subdivision Neighbourhood Corona of Graphs
Graph operations such as the corona product play a significant role in analysing and constructing complex networks. In this work, we examine the Wiener index within the framework of generalised subdivision graph operations. We establish precise bounds for the Wiener index of the generalised…
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Lyapunov Stability and Optimization of a Fractional-Order HIV/AIDS Model Coupling Vertical Transmission With Saturated Treatment
This research introduces a fractional-order nonlinear model for the dynamics of human immunodeficiency virus (HIV) and acquired immune deficiency syndrome (AIDS) using Caputo-type derivatives of noninteger order. Solution properties of the model are investigated by analyzing positivity and…
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Risk Measures Associated With Automobile Insurance Claim Losses With an Underlying Probabilistic Mixture Distribution
Loss data may often exhibit features such as multimodality and skewness that render single distributions incapable of capturing all these features. Insurance data often comprise of extremely large losses, of which single distributions may inadequately capture their varying features of different…
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Study on Approximate C∗-Bimultiplier and JC∗-Bimultiplier in C∗-Ternary Algebra
An additive-quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=2Fr,s+2Fr,t. This paper leverages the fixed-point method to investigate C∗-bimultiplier and JC∗-bimultiplier approximations on C∗-ternary algebras. The focus is on the…
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Pre A∗-Algebras and Their Applications in Fuzzy Set Theory
This paper studies Pre A∗-algebras and their role as an algebraic foundation for fuzzy set theory. By relaxing the key Boolean axioms of distributivity and complementation, Pre A∗-algebras provide a robust algebraic structure for reasoning with uncertainty. We construct a fundamental three-element…
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Characterization of Reverse (l, m, n)-Homoderivations on Prime and Semiprime Rings
We introduce the concept of reverse l,m,n-homoderivations as a new class of additive mappings on rings, providing a common generalization of reverse derivations, antihomomorphisms, and related homoderivation-type mappings. After establishing their existence via suitable examples, we examine their…
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Bipolar Fuzzy Solution of the Bipolar Fuzzy Wave Equation Using Bipolar Fuzzy Fourier Sine Transform Under GH-Differentiability
The bipolar fuzzy wave equation is crucial for modeling wave phenomena in systems characterized by dual uncertainty involving both positive and negative aspects of imprecise information. This study presents an innovative analytical framework for solving bipolar fuzzy wave equations using bipolar…
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Artikel Jurnal
Results on Rectangular G^b-Metric Space Endowed With Mann’s Iterative Scheme
This research presents a comprehensive investigation into the properties and applications of Mann’s iterative scheme within the specialized framework of convex rectangular G^b-metric space. The primary objective is to establish novel fixed point theorems under these conditions. A key advantage of…
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Artikel Jurnal
An Age-Structured Mathematical Model of Malaria Transmission Dynamics With Imperfect Vaccination in the Context of Partial Differential Equations
Malaria remains one of the leading causes of morbidity and mortality worldwide, particularly in tropical and subtropical regions. In 2024 alone, the WHO African Region reported approximately 265 million cases and 579,000 deaths. To address this persistent public health challenge, we developed a…
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Artikel Jurnal
Sine Error Function-Generated Family of Distributions: Estimations and Applications
In recent times, researchers have resorted to using trigonometric and error function-generated families of distributions for extending baseline distributions due to their parsimonious and flexible nature. The study proposed the sine error function-generated family of distributions and derived the…
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