Contemporary Mathematics
ISSN: 2705-1064 (Print) 2705-1056 (Online) DescriptionContemporary Mathematics is a bimonthly peer-reviewed scientific journal. Our ultimate goal is to make the journal an important source for publishing high quality papers related to the development of contemporary mathematics as well as a continuing and evolving source of interesting and relevant problems for researchers.
The scope of this journal includes theoretical, numerical, and experimental studies in all fields of mathematics and the mathematical sciences. A broad spectrum of topics are covered: mathematical theory, pure mathematics, algebra, geometry and topology, complex analysis, differential equations, industrial mathematics, computational mathematics, discrete mathematics, applied mathematics, mathematical physics, mathematical statistics, etc.
Impact Factor (2024) 2.5
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Announcement
Dec 31,2025
Adjustment of Article Processing Charge (APC)
Oct 10,2025Celebrating CM Editorial Board Members Recognized in the World's Top 2% Scientists 2025
Jun 19,2025Contemporary Mathematics Achieves 2024 Impact Factor of 2.5 and Q1 Ranking
Jan 13,2025Contemporary Mathematics Changes Publication Frequency from Quarterly to Bi-Monthly
Dec 16,2024Recruitment: Reviewer Board Members
Information
Latest Articles
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...