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Contemporary Mathematics, Volume 7 Issue 3 (2026)



Open Access Article

Some Application of Fuzzy Third-Order Subordination and Superordination Associated with Zeta-Riemann Fractional Differential Operator

by Ekram E. Ali, Rabha M. El-Ashwah, R. Sidaoui, Sahar K. Al-Askary, Miguel Vivas-Cortez

ABSTRACT: This work lays under the fuzzy third-order differential subordination. The development of the key ideas required to produce fresh findings on this subject marked the beginning of third-order fuzzy...

Open Access Article

On the Exact Solvability of Polynomial Families: Quintic and Sextic Cases with a Conjectural Extension to Higher Degrees

by Samir Brahim Belhaouari, Yunis Carreon Kahalan, Ibrahima Faye

ABSTRACT: We develop a framework for identifying conditionally solvable families of quintic and sextic polynomials by reformulating polynomial solving with the coefficient relations as a constrained matrix...

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

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

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

Approximation of Fixed Points for E-Type Enriched Nonexpansive Mappings with Applications

by Mujahid Abbas, Ahad Hamoud Alotaibi, Muhammad Waseem Asghar

ABSTRACT: In this research, we propose an inertial-type iterative scheme constructed by an E -type enriched nonexpansive mappings in the framework of uniformly convex Banach spaces. Strong and weak...

Open Access Article

Significance of Thermal Radiation in Heat Transfer of MHD Blood Based CNTs Hybrid Nanofluids Past a Stretching/Shrinking Sheet: A Couple-Stress Fluid Model

by T. Alzkari, Ali Rehman, A. B. Albidah, Ilyas Khan, N. F. M. Noor, K. Sudarmozhi, Wei Sin Koh

ABSTRACT: The effect of thermal radiation on heat transport in a steady, two-dimensional blood-based nanofluid is studied. Blood is the base fluid with Multiwalled Carbon Nanotubes (MWCNT) and Single-Walled...

Open Access Article

Applications of a Hurwitz-Lerch Zeta Linear Operator Involving Classes of Meromorphic Functions

by Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Rabab Sidaoui, Sahar K. Alaskary, Maryam F. Alshammari

ABSTRACT: The findings of this study are connected with geometric function theory and were acquired by using linear operator is applied to investigate specific classes of meromorphic functions defined using...

Open Access Article

A Coupled Dynamic Optimization and Entropy-Regularized PCA Framework for Dynamic Panels

by Yun Xu, Yang Andrew Wu

ABSTRACT: Analyzing the dynamic interplay between multidimensional policy instruments and environmental outcomes in regional economies poses formidable mathematical and statistical challenges. Specifically,...

Open Access Article

Improved Results on Weighted Hardy-Type Inequalities Based on the Principles of Time Scale Calculus

by Taher S. Hassan, Haytham M. Rezk, Ioan-Lucian Popa, Ahmed I. Saied, Hoda A. Abd El-Hamid, Hicham Saber, Belal A. Glalah

ABSTRACT: Over the past decades, the study of Hardy-type inequalities has led to significant developments in both theory and applications, giving rise to a wide range of refinements and generalizations in...

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

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

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

Discrete Fractional Order Modeling of Plant Capture Carbon Dioxide Dynamical Analysis with Neural Networking

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

ABSTRACT: A nonlinear mathematical model is suggested to examine the role of varying abilities of plants in absorbing atmospheric Carbon Dioxide (CO 2 ) and its impact on the ecosystem. Various plant...

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

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

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

Green Energy Generation Dynamical System: Fractal-Fractional Mathematical Modeling with AI-Driven Data Analysis

by Hasib Khan , Hadeel Bin Amer, Wafa F. Alfwzan, Jehad Alzabut, Rajermani Thinakaran

ABSTRACT: As the demand for renewable energy increases, it becomes more vital to efficiently integrate different resources such as wind and solar energy. This study illustrates a novel integrated mechanism...

Open Access Article

Some Fractional Corrected Dual Euler-Simpson Type Inequalities for Differentiable Strongly Preinvex Functions

by Lilia Zenkoufi, Abdelkader Moumen, Hicham Saber, Badreddine Meftah

ABSTRACT: In this paper, we introduce a new integral identity involving Riemann-Liouville fractional operators. By considering functions with strongly preinvex first derivatives, we derive several corrected...

Open Access Article

Integrating Intuitionistic Fuzzy Diamond-Shaped Sets with Combinative Distance-Based Assessment Method for Multi-Criteria Decision-Making

by Muhmmad Jabir Khan, Muhammad Bilal Khan, Altaf Alshuhail, Miguel Vivas-Cortez, Khaled Mohamed Khedher

ABSTRACT: In diverse decision values may find it difficult to offer a coherent and truthful viewpoint in situations with multiple decision makers. In order to overcome the limitation, this work introduces...

Open Access Article

On the Minimum and Maximum Complementary Geometric-Arithmetic Index of Connected Graphs

by Abeer M. Albalahi, Jaya Percival Mazorodze, Tariq Alraqad, Hicham Saber, Akhlaq A. Bhatti, Amjad E. Hamza, Akbar Ali

ABSTRACT: Consider a graph G whose collection of edges is represented by E . For any vertex w ∈ V ( G ), let d w denote the number of edges incident to w , referred to as its degree. The graph...

Open Access Article

Transmission Dynamics of Dengue Disease Using Control Strategies and Real-Data

by Sohail Ahmad, Muhammad Ozair, Takasar Hussain, Faiqa Batool, Nahid Fatima, Kamal Shah, Thabet Abdeljawad

ABSTRACT: Dengue remains the most rapid spreading vector-borne disease globally. It is severe public health challenge in tropical and subtropical region especially in Pakistan. In this work, a fractional...

Open Access Article

A Unified Nonlinear Mathematical Model Based on Smoking-Vaping Dynamics with Spectral Graph Analysis and Simulation

by Muhammad Sadaqat Talha, Muhammad Waseem, Zeeshan Ali, Nahid Fatima, Kamal Shah, Thabet Abdeljawad

ABSTRACT: This research presents a nonlinear mathematical approach that integrates smoking and vaping dynamics in a one population. The model is defined as a system of nonlinear ordinary differential...

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

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...

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 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

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

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

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

Autonomous Bus Service Utilization Intention Through the Sustainability Theory of Planned Behavior Model and Valence Framework

by Ma. Micaella Kyle M. Dayao, Daniela Eleanor C. Estacio, Mary Joyce Nicole L. Manalo, Ardvin Kester S. Ong, Cesar Romeo V. Delos Reyes, John Xavier S. Chavez

ABSTRACT: The emergence of autonomous bus services presents a transformative solution for addressing urban or rural transportation challenges, particularly in developing countries such as the Philippines....

Open Access Article

Four-Leaf Inequalities: A q-Series Approach

by Ayotunde Olajide Lasode, Timilehin Gideon Shaba, Sarfraz Nawaz Malik, Daniel Breaz, Luminita-Ioana Cotîrlă

ABSTRACT: This research delves into several inequalities of complex functions, which are key to understanding their behavior. Such inequalities are vital in complex analysis for setting bounds,...

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

Synergistic Role of Ciliary Motion and Magnetohydrodynamics in Peristaltic Nanofluid Flow: Bio Applications

by Zil-e-Huma, Niat Nigar, Nadeem Abbas, M. Arslan Nazir, Wasfi Shatanawi

ABSTRACT: The synergistic interplay of ciliary motion and Magnetohydrodynamics (MHD) in facilitating the peristaltic transport of nanofluid presented a transformative approach for bio-applications. Our...

Open Access Article

Inverse Problem: Simultaneous Reconstruction of Multiple Coefficients in Tridiagonal Competitive Reaction-Diffusion Systems with Positive Feedback

by Yongbing Luo, Ping Yan

ABSTRACT: This paper establishes uniqueness results for solving inverse problems involving multiple non-constant coefficients in a trio of parabolic equations modeling tridiagonal competitive diffusion. We...

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

Mathematical Modelling and Computational Simulation of Oxy-Combustion Carbon Capture Using Ion-Transport Membranes

by Rached Ben-Mansour

ABSTRACT: Global warming is the most challenging environmental problem and is expected to remain so for the next few decades. In June 2025, scientists predicted that it would be extremely difficult to meet...

Open Access Article

Properties of Tangent-Fibonacci Polynomials via Golden F-Calculus

by Noor Alam, Waseem Ahmad Khan, Manoj Sharma

ABSTRACT: In this paper, we introduce and systematically study a new class of two-variable Tangent-Fibonacci polynomials together with their corresponding numbers within the framework of Golden F...

Open Access Article

On a Novel Class of Special Polynomials: Central Bell-Based Type 2 Euler Polynomials Associated with Umbral Calculus

by Noor Alam, Ugur Duran, Waseem Ahmad Khan, Manoj Sharma

ABSTRACT: In this work, the authors define the central Bell-based central factorial polynomials of the second kind and examine many of their fundamental formulae, properties, and relations, some of which...

Open Access Article

A Ternary Shape-Preserving Refinement Algorithm with Fourth Order Accuracy

by Fahad Sameer Alshammari, Pakeeza Ashraf, Javeria Ashraf, Amna Kalsoom, Ali Akgul

ABSTRACT: This paper introduces a new class of stationary refinement algorithms that combine the advantages of the four-point interpolatory algorithm and the cubic B-spline. This algorithm includes a...

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

A New Approach to Fixed Point Results in Neutrosophic b-Metric Spaces with Application

by N. Muthulakshmi, M. Jeyaraman, Mohammad Dilshad, Mohammad Akram, Doaa Filali

ABSTRACT: This study defines an extended Neutrosophic b -Metric Space (NbMS) and illustrates the characteristics that are essential to its structure. The Fixed Point (FP) theorem has therefore been proved...

Open Access Article

A Mathematical Study of Rectangular and Triangular Fins with Variable Thermal Conductivity Through Local Thermal Equilibrium and Local Thermal Non-Equilibrium Fluid Models by Means of Artificial Neural Network

by Manaswini R., S. Manjunatha, Khalil Ur Rehman, Tanuja T. N., Wasfi Shatanawi

ABSTRACT: A mathematical approach is employed to examine the heat transmission capabilities of rectangular and triangular porous fins in both Local Thermal Equilibrium (LTE) and Local Thermal...

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

A Conformable Fractional Composition Operator and Its Boundedness with Applications

by Adel A. Attiya, Teodor Bulboacă, Rabha W. Ibrahim, Hatun Özlem Güney, Mansour F. Yassen

ABSTRACT: It is well known that there is a strong connection between operator theory and complex analysis. The concept of conformable operators is also employed in fractional calculus to define fractional...

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...