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Contemporary Mathematics, Volume 7 Issue 3 (2026)



Open Access Article

Impacts of Viscous Dissipation and Nanoparticle Flow in Pressure-Driven Hydrosphere and Atmosphere Interface on Climate Change: A Numerical Perspective

by Hossam A. Nabwey, Rabia Iqbal ‎, Muhammad Ashraf, A. M. Rashad, Abdullah Aldurayhim, M. M. Nour

ABSTRACT: The effects of natural convection heat transfer from the hydrosphere to the atmosphere are investigated numerically on the climate in current work under the assumptions that the hydrosphere phase...

Open Access Article

Impact of Driver Anticipation on Macroscopic Traffic

by Zawar H. Khan, T. Aaron Gulliver, Ahmed B. Altamimi, Wilayat Khan

ABSTRACT: Accurate characterization of heterogeneous traffic flow is essential for realistic traffic modeling. Driver anticipation in heterogeneous traffic is impacted by lateral and forward distance,...

Open Access Article

Predator-Prey Dynamics Unveiling the Role of Harvesting and the Existence of Toxicity with Fading Memory with Neural Networking

by Aziz Khan, Hadeel Bin Amer, Ramesh K, Thabet Abdeljawad, Rajermani Thinakaran

ABSTRACT: In the present study, the Holling Type-II functional response is integrated with additional harvesting and toxicity parameters to investigate the overall dynamics of a Caputo fractional-order...

Open Access Article

Optimizing Multi-Commodity Fixed-Charge Solid Transportation Under Spherical Fuzzy Environment: A Multi-Objective Perspective

by Vishwas Deep Joshi, Priya Agarwal, Lenka Čepová, Huda Alsaud, B. Swarna, Ajay Kumar

ABSTRACT: In today's dynamic and complex logistics networks, decision makers must simultaneously balance transporta-tion cost, delivery time, and service quality in multi-commodity systems involving fixed...

Open Access Article

Cauchy Problem Involving Hybrid Proportional–Caputo Derivative in Banach Spaces

by Abdelkader Moumen, Hussien Albala, Oualid Zentar, Mohamed Ziane, Tayeb Mahrouz

ABSTRACT: This paper studies a class of nonlinear Cauchy problems driven by hybrid proportional-Caputo fractional derivatives in Banach spaces. The nonlinear source term is assumed to satisfy combined...

Open Access Article

Asymptotic Analytic Framework for Pruning Dynamics in Numerical Semigroups

by Vivian Ndfutu Nfor, Fahad Alshammari, Marshal I. Sampson, Hossam A. Nabwey, Louis E. Essien, Reny George

ABSTRACT: This paper investigates asymptotic bounds for the length density of factorizations in numerical and more general atomic semigroups, introducing a unified algorithmic and analytic treatment through...

Open Access Article

Improved Fire Hawk Optimizer with Crossover Scheme for Text Document Clustering

by Mohammed M. Msallam, Zakir Hussain Ahmed, Habibollah Bin Haron, Syahril Anuar Bin Idris, Harish Garg

ABSTRACT: Text Document Clustering (TDC) is an important task in document analysis, which groups unstructured text documents based on their similarities. The Fire Hawk Optimizer (FHO) has recently...

Open Access Article

DEA-Inspired Constrained Log-Log Quantile Frontier: Smooth Bench-marking, Calibration, and Dynamic Interpretation

by Vladislav Spitsin, Nikita Martyushev, Lubov Spitsina, Magerram Gasanov, Victoria Leonova

ABSTRACT: This paper proposes a Data Envelopment Analysis (DEA)-inspired smooth benchmarking approach based on a constrained log-log quantile production frontier. The frontier is estimated by quantile...

Open Access Article

Common Fixed Point Results of Asymptotically Regular Mappings in Generalized Metric Spaces with Application

by Kiran Riaz, Abdul Rahim Khan, Saud M. Alsulami, Nawab Hussain

ABSTRACT: In this paper, we establish common fixed point results for two regular asymptotic mappings in b -metric spaces and strong b -metric spaces. Our main result deals with regular asymptotic...

Open Access Article

Algebraic Semigroups of Multiple-State Optimal Design Problems

by M. I. Sampson, R. B. Abubakar, Mohamed M Awad, Reny George

ABSTRACT: This paper develops an algebraic framework for modeling multiple-state optimal design problems through semigroup theory. By introducing a natural semigroup structure on the space of feasible...

Open Access Article

On the Stability of Partial Integral Equations Governed by Hadamard Fractional Integrals of Piecewise Constant Order

by Hussien Albala, Kadda Maazouz, Zineb Bellabes, Naima Boussekkine, Abdelkader Moumen, Hicham Saber

ABSTRACT: This article investigates the existence and global stability of a class of partial integral equations involving the Hadamard fractional integral of variable order. By employing Schauder's fixed...

Open Access Article

Compression with Wildcards: All k-Models of a Binary Decision Diagram

by Marcel Wild, Yves Semegni

ABSTRACT: A bitstring of length n is an element of {0 , 1} n . Further the bitstring (say) (0 , 0 , 1 , 0 , 1 , 1 , 0) has Hamming - weight 3, since 3 times "1" occurs. A function of type...

Open Access Article

On the Quaternion-Valued Fractional Differential Equation with Hyers-Ulam Stability

by Faten H. Damag, Mohammad Alshammari, Amin Saif, Adem Kiliçman, Hakeem A. Othman, Suliman Dawood

ABSTRACT: This paper investigates the Hyers-Ulam stability of linear Quaternion-Valued Fractional Differential Equations (QVFDEs) in both homogeneous and non-homogeneous forms. By exploiting the...

Open Access Article

The CNs Tensor Product of Graphs: Structure, Spectra and Application

by Subha A. B., Sreekumar K. G., E. M. Elsayed, M. M. El-Dessoky, A. A. Alghamdi

ABSTRACT: In this study, we present a product graph called CN s tensor product based on the concept of CN s vertices—those with identical neighborhoods. The structure of this product graph is closely...

Open Access Article

Fixed Point Theorems for Multipoint Chatterjea-Type Mappings

by Merve Özkan, Safeer Hussain Khan

ABSTRACT: In this paper, we give a four point and a multipoint generalizations of the Chatterjea type mappings. Such mappings are repectively based on the mappings of four or n points of the space instead...

Open Access Article

Navigating Multicollinearity in Linear Regression Models: Implications for Big Data Analysis

by Salomi du Plessis, Mohammad Arashi, Salomon Millard, Gaonyalelwe Maribe

ABSTRACT: The consequences of multicollinearity in regression analysis involving small, moderate, or high-dimensional datasets are well-established, and many notable solutions exist. However, the...

Open Access Article

Enhancing the Arithmetic Optimization Algorithm Using Fuzzy Parameter Adaptation and Novel Evolutionary Operators

by Mohammad Hosseini, Adel Ghazikhani, Andres Annuk, Mohammad Gheibi, Kaveh Akbarzadeh-Sherbaf, Reza Moezzi

ABSTRACT: This paper presents an enhanced version of the Arithmetic Optimization Algorithm (AOA), a mathematically inspired metaheuristic optimization method that has received significant attention in...

Open Access Article

Two Classes of Irreducible Polynomials over Finite Fields

by Wensi An, Hongfeng Wu

ABSTRACT: Let p be a prime, q be a power of p and t be a positive integer. In this paper, we construct stable polynomials of the form over by Capelli's lemma. We also solve the problem by...

Open Access Article

A Mathematical Application Method for Configuring Rail-Water Intermodal Transportation Equipment in Container Terminals

by Jinlong Wu, Yunfeng Gao, Xiaobing Ding

ABSTRACT: The quantity configuration of loading, unloading, and transfer equipment at intermodal hubs for container rail-water transportation significantly impacts terminal operational efficiency. This...

Open Access Article

Efficient Spectral Collocation Schemes for Nonlinear ψ-Caputo Fractional Riccati Differential Equations with Variable-Order

by A. Emin, M. A. Abdelkawy, Anjan Biswas

ABSTRACT: This article presents a spectral method for estimating solutions of the nonlinear Variable-Order Caputo ψ -Fractional Riccati Differential Equation (VOC- ψ -FRDE). First, the solution and its ψ...

Open Access Article

A Novel Romanovski-Jacobi Spectral Collocation Scheme for Fourth-Order ψ Fractional Sub-Diffusion Models

by M. A. Abdelkawy, A. Emin, Anjan Biswas

ABSTRACT: This paper presents a novel Romanovski-Jacobi (R-J) spectral collocation scheme for numerically solving Fourth-Order ψ -Fractional Sub-Diffusion models (FO- ψ FSDEs). These models, which are...