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
Announcement
Mar 05,2026
Special Issue: Numerical Analysis and Computational Mathematics: Recent Advances and Emerging Applications
Feb 09,2026Special Issue: Geometric Function Theory and Applications in Contemporary Mathematics
Feb 04,2026Special Issue: Numerical Methods for Differential, Integral, and Fractional Differential Equations
Feb 04,2026Special Issue: Galerkin, Tau, Collocation, Finite Difference, and Finite Volume Methods for Differential, Integral, and Fractional Equations
Feb 03,2026Special Issue: Fractional Order Systems: Existence Theory and Numerical Analysis
Feb 03,2026Special Issue: Advanced Statistical Methods and Extensions
Feb 03,2026Special Issue: Complex Analysis and Geometric Methods for Nonlinear Systems and Information Processing
Dec 31,2025Adjustment 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
Oct 19,2022Contemporary Mathematics Accepted in Emerging Sources Citation Index (ESCI)
Jan 09,2021Outstanding Reviewer Award
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Latest Articles
Open Access Article
Rational Bicubic Formulation of Dupin Cyclide
by Iqra Saeed, Maria Hussain, Muhammad Farman, Mohamad Hafeez, Faiza Sarfraz
ABSTRACT: Dupin cyclides are canal surfaces with circular lines of curvature and are widely used in geometric modelling applications such as Computer-Aided Design (CAD), surface fitting, and blending. In...
Open Access Article
New Approach of Generalized α-Nonexpansive Mappings via HK-Iteration Process with Applications to Fractional Differential Equation and Boundary Value Problems
by Hanif Ullah, Kifayat Ullah, Ali Asghar, Muhammad Tariq, Hijaz Ahmad, Noura Roushdy
ABSTRACT: This paper introduces the Hanif Kifayat (HK)-Iteration process and investigates its application to generalized α-nonexpansive mappings in Banach spaces. The proposed scheme not only unifies but...
Open Access Article
Homogenization of a Nonlinear Stochastic Convection-Diffusion Model for Reactive Flows with Noise Boundary
by Mogtaba Mohammed
ABSTRACT: In this paper, we address the transport of a solute through a porous media that involves both convection and diffusion, along with a linear chemical reaction (desorption/adsorption) occurring on...
Open Access Article
Advanced Fuzzy Polynomial Approximation with Triangular Linear Diophantine Least Squares
by Naveed Khan, Mudassir Shams, Nasreen Kausar, Behzad Omidi Koma
ABSTRACT: Modeling uncertainty and imprecision is a substantial challenge in a variety of scientific and engineering domains. Conventional techniques, such as intuitionistic, Pythagorean, and q -rung...
Open Access Article
Fractals Patterns as Mandelbrot Sets for a Complex Functions via Viscosity Approximation Iterative Method
by Mohammad Sajid, Iqbal Ahmad, Mohammed D. Alharbi
ABSTRACT: This article explores novel fractal patterns within Mandelbrot sets generated by a new class of complex functions of the forms and , where p ≥ 2 , ϑ , , and , where the...
Open Access Article
Extensions and Improvements of Jensen's and Majorization Type Inequalities for p-harmonic Convex Functions
by Faiza Azhar, Muhammad Imran Asjad, Majeed Ahmad Yousif, Imran Abbas Baloch, Dumitru Baleanu, Pshtiwan Othman Mohammed
ABSTRACT: In this paper some integral inequalities of Jensen's type for generalised non-convex functions defined on real-line intervals and some results on Majorization type inequalities are established. We...
Open Access Article
Linear Diophantine Fuzzy Weighted Hamy Mean Operator with Application to Multi-Attribute Decision-Making Problems
by Najma Yasmin, Muhammad Ibrar, Muhammad Ishfaq Khan, Nasreen Kausar, Ebru Ozbilge
ABSTRACT: Existing multi-attribute decision-making methods often fail to adequately capture complex uncertainty and attribute interrelationships in real-world problems, potentially leading to suboptimal...
Open Access Article
Constructing Optimal 2D Variable-Weight OOCs from Semicyclic Group Divisible Designs
by Rongcun Qin, Hengming Zhao
ABSTRACT: The OCDMA network using two Dimensional Variable-Weight Optical Orthogonal Codes (2D VWOOC) can support diverse Quality of Services (QoS) classes and multimedia services, and make the better use...
Open Access Article
Spectral Bernoulli-Gauss Collocation Scheme for Pantograph-Type Volterra Integro-Differential Equations
by R. M. Hafez, M. A. Abdelkawy, Y. H. Youssri, A. Biswas
ABSTRACT: In this work, we employ a spectral collocation approach to numerically solve pantograph-type Volterra integro-differential equations subject to given initial conditions. The scheme combines...
Open Access Article
Numerical Investigation of Solitary Wave Behavior of Certain Types of Nonlinear Partial Differential Equations
by Shumoua F. Alrzqi, Fatimah A. Alrawajeh, Hany N. Hassan
ABSTRACT: The objective of this work is to obtain accurate numerical results of certain types of partial differential equations with boundary conditions by integrating the Fourier Spectral Method (FSM) for...
Open Access Article
Analysis of Air Quality Evolution in the Basque Autonomous Community Using Radial Basis Function Interpolation and Unsupervised Learning
by Heber Hernández, Elisabete Alberdi, Irantzu Álvarez, Aitor Goti, Luis Álvarez, Xabat Oregi
ABSTRACT: This study presents results from a spatial modeling and analysis process of six different air pollutants measured over a ten-year period at up to forty-three monitoring stations located in the...
Open Access Article
On the Spectrum of Composition Operators on Harmonic Bloch-Type Spaces
by Mohammed Said Al Ghafri, Yousef Estaremi, Ali Ebadian, Somaye Esmaeili
ABSTRACT: In this paper, we consider the composition operators on harmonic Bloch-type spaces. Then first we compute their spectra on harmonic α -Bloch spaces and harmonic little α -Bloch space and then we...
Open Access Article
RSA Cryptanalysis: A Novel Acceleration for Euler-Based Fermat Factorization Algorithm
by Ibrahim M. Alseadoon, Khaled A. Fathy, Mohamed A.G. Hazber, Yasser Kotb, Hazem M. Bahig
ABSTRACT: The Rivest-Shamir-Adleman (RSA) cryptosystem is an efficient and secure method for transmitting data over the Internet. Breaking this system primarily relies on the integer factorization problem,...
Open Access Article
Refinements of Fejér-Type Inequalities Involving Special Functions
by Muhammad Tariq, Ali Asghar , Sanaullah, Hijaz Ahmad , Evren Hincal , Ibrahim Alraddadi, Noura Roushdy
ABSTRACT: Convexity associated with inequalities finds numerous and impressive applications in the field of applied mathematics, especially when it comes to fractional analysis. In this paper, we...
Open Access Article
Algorithms for Robust Predictor Filtering and Evaluation of Their Stability
by Boris V. Malozyomov, Nikita V. Martyushev, Roman V. Klyuev, Anton Y. Demin, Svetlana N. Sorokova, Egor A. Efremenkov, Denis V. Valuev, Andrei O. Kotov
ABSTRACT: The paper is devoted to the development of an algorithm for reliable predictor filtering based on Henze-Zirkler statistics, development of an iterative procedure based on Lass regularization. The...
Open Access Article
Finite Element Multigrid Simulation of Natural Convection in Hybrid Nanofluids Within Isolated Cavity for Solar Energy Systems: A Machine Learning-Levenberg-Marquardt Approach
by Hamayat Ullah, Muhammad Salim Khan, Zahir Shah, Maria Alina Fălădău, Nahid Fatima, Muhammad Sarwar, Kamaleldin Abodayeh
ABSTRACT: This study examines magnetoconvective heat transfer in an enclosure filled with a hybrid nanofluid consisting of Multi-Walled Carbon Nanotubes (MWCNTs) and iron oxide (Fe 3 O 4 ) nanoparticles, a...
Open Access Article
Stagnation Point Flow and Heat Transfer on a Porous Stretching/Shrinking Cylinder: Analytical Procedure
by Sina Sadighi, Marin Marin
ABSTRACT: This parametric study deals with stagnation point flow and heat transfer on a stretching/shrinking cylinder under convective boundary conditions. Unlike most existing investigations that rely on...
Open Access Article
Using Deep Neural Network and Fractional Derivative to Investigate Evolution of Virulence
by Kamal Shah, Aziz Khan, Thabet Abdeljawad, Eiman
ABSTRACT: This manuscript is related to investigating a mathematical model for the evolution of virulence by using Deep Neural Networks (DNNs) and fractional order derivative with powerlaw kernel....
Open Access Article
On the Conjugated Chemical Trees of a Given Order and Their Extremum Bond Incident Degree Indices
by Fozaiyah A. Alhubairah, Hicham Saber, Tariq Alraqad, Zahid Raza, Akbar Ali
ABSTRACT:
Open Access Article
A New Area-Preserving Geometric Numerical Algorithm of Nonlinear Systems
by Yunshu Yang, Feilong Huang, Wenan Jiang , Liqun Chen
ABSTRACT: Geometric numerical integration is a numerical algorithm that preserves the inherent geometric properties of the system. However, most traditional numerical algorithms do not take into account the...
Open Access Article
On Artificial Neural Network to Analyze Discrete Fractional Order COVID-19 Mathematical Model
by Sajid Shah, Kamal Shah, Thabet Abdeljawad, Eiman
ABSTRACT: A discrete type model for addressing the recent COVID-19 disease with vaccination class is considered in this research work. In this work, we integrate the harmonic mean type incidence rate into a...
Open Access Article
RPHM: Real-Time Personalized Health Monitoring Using Wearable IoT and AI
by Venkata Krishna Parimala, V. Saritha, Pratap Pachipulusu, M. Aruna, P. Jayasri
ABSTRACT: When the latest technology is integrated with real-time personalized health monitoring, there will be noteworthy improvement in the proactive healthcare. In this paper, a novel and comprehensive...
Open Access Article
Mathematical Optimization and Ensemble Learning for Hypertension Risk Prediction: A Feature-Driven Stacked Framework with Interpretability
by Roseline Oluwaseun Ogundokun, Rotimi-Williams Bello, Pius Adewale Owolawi, Etienne A. van Wyk
ABSTRACT: Hypertension remains a leading contributor to cardiovascular disease and premature mortality, yet early risk identification continues to be challenging in many healthcare settings. Traditional...
Open Access Article
Approximate Solution of Time-Fractional Ivancevic Option Pricing Model
by K. Raghavendar, K. Aruna, N. I. Okposo, K. Pavani
ABSTRACT: Option pricing is a vital area in financial mathematics that consists of the development of efficient models. The Ivancevic Option Pricing Model (IOPM) is a wave-based, nonlinear, adaptive version...
Open Access Article
Including Labor Flexibility in the Integrated Suppliers' Selection and Aggregate Production Planning Problem Under Uncertainty
by José Emmanuel Gómez-Rocha, Eva Selene Hernández-Gress, Christian E. Coronado Mondragón, José-Fernando Camacho-Vallejo
ABSTRACT: Uncertainty inherent to suppliers and customers must be effectively managed for planning decisions. The former directly affects production capacity, while the latter influences demand, both...
Open Access Article
On Randomized Average Block Gauss-Seidel Method and Its Greedy Version for Inconsistent Factorized Linear System
by Peng Zhang, Yi Wu, Bing Wei
ABSTRACT: For solving inconsistent factorized linear systems, the Randomized Gauss Seidel-Randomized Kaczmarz (RGS-RK) method is very effective. In order to improve its convergence, we first develop the...
Open Access Article
Numerical Methods for Fractional Differential Equations Using Physics Informed Neural Networks
by Sneha Agarwal, Lakshmi Narayan Mishra
ABSTRACT: This paper investigates the numerical solution of fractional differential equations involving the Erdelyi-Kober fractional operator, which play a pivotal role in modeling memory-dependent and...
Open Access Article
Thermal Performance of Williamson Fluid Flow over Vertical Stretching Sheet: A Mathematical and Machine Learning Perspective
by Nadeem Abbas, Wasfi Shatanawi, Fady Hasan, Lubaba Yaseen
ABSTRACT: Stagnation flow of Williamson fluid over nonlinearly stretching vertical sheet with heat generation, viscous dissipation and thermal slip has been analyzed. Governing equations have been...
Open Access Article
A Non Negative Matrix Factorization-Based Data Augmentation Procedure for Two-Dimensional Data
by Serena Crisci, Valentina De Simone, Ferdinando Zullo
ABSTRACT: In this paper, we investigate how geometric transformations—such as translations and rotations—affect matrix factorizations, with a particular focus on Non negative Matrix Factorization (NMF) in...
Open Access Article
Fractional-Order Iterative BVPs: Uniqueness and Hyers-Ulam Stability
by Muralee Bala Krushna Boddu, Sumati Kumari Panda, Hind Alamri, Nawab Hussain
ABSTRACT: This article investigates the existence and uniqueness of solutions to a fractional-order iterative boundary value problem characterized by Caputo derivatives. The analysis is conducted within the...
Open Access Article
Analyzing the Impact of Uncertainty on Multiple Regression Metrics and Model Performance
by Muhammad Aslam, Turki Alhuzali, Mohammed Alsubaie, Bayan Adel Shukr, Afnan Ali Almazmomi
ABSTRACT: Regression models based on classical statistics have been extensively applied across various fields. However, these traditional models fail to account for the degree of indeterminacy when dealing...
Open Access Article
An q-Rung Orthopair Trapezoidal Fuzzy Number Decision-Making Method for Online Learning Engagement Assessment
by Benting Wan, Jiachen Sun, Haifeng Du, Jun Wan, Xiangwen Kong, Youyu Cheng
ABSTRACT: Student engagement in online learning is very important for assessing learning effectiveness. However, the process of learners' engagement, including its rise, stability, and decline, is complex...
Open Access Article
A Multi-Dimensional and Multi-Level Based Collaborative Evaluation of Carbon Reduction in the Power Sector
by Jiang Bian, Yang Wang, Tianchun Xiang
ABSTRACT: Achieving deep carbon reduction in the power sector is central to China's green energy transition. This study develops a novel multidimensional and multi-level collaborative evaluation framework...
Open Access Article
Exploring Adjacency Recognizable Colorings in Graphs: A New Variant of Adjacency Codes
by Chira Lumduanhom, Varanoot Khemmani
ABSTRACT: Let G be a nontrivial connected graph and c : V ( G ) → {1, 2, ..., k } be a coloring of G , where adjacent vertices may be colored the same. For any vertex v of G , the adjacency code...
Open Access Article
A Refined Study on Fuzzy Topological Indices of H-Naphtalenic Nanotubes
by Ali Akgül, Fahad Sameer Alshammari, Sabir Hussain, Wasim Abbas, Faryal Chaudhry
ABSTRACT: Fuzzy graph theory has emerged as a valuable tool for modeling complex systems where uncertainty and imprecision are inherent. In this refined study, we explore the fuzzy topological indices of...
Open Access Article
Transforming Generalized Conformable Linear PDEs into Classical Linear PDEs via Generalized Conformable Integral Operators
by Josué N. Gutiérrez-Corona, Luis A. Quezada-Téllez, Guillermo Fernández-Anaya, Jorge E. Macias-Diaz, Ernesto Urenda-Cázares
ABSTRACT: This work investigates the reduction of Generalized Conformable Partial Differential Equations (GCPDEs) to classical Partial Differential Equations (PDEs) through a tailored change of variables...
Open Access Article
Stability and Uniqueness of Fractional Order Newton-Raphson’s Method for Nonlinear Equations
by Muhammad Farman, Ali Akgül, Aseel Smerat, Zaheer Ahmad, Betty Wan Niu Voon, Mohamed Hafez
ABSTRACT: The study proposes a fractional-order derivative-based Newton-Raphson algorithm for solving nonlinear fractional-order systems. The algorithm focuses on polynomial, exponential, and trigonometric...
Open Access Article
A Weibull-Based Critique of the Uniform Distribution in Interval Data Analysis
by Shakila Bashir, Bushra Masood, Muhammad Aslam, Florentin Smarandache, Muhammad Farooq
ABSTRACT: In recent years, there has been a growing interest in neutrosophic probability distributions as effective tools for modeling data that involve uncertainty, ambiguity, or vagueness—limitations that...
Open Access Article
A Brief Study on Fractals as Julia and Mandelbrot Sets for Generalized Rational Map Using the Generalized Viscosity Approximation-Type Iterative Methods
by Iqbal Ahmad, Abdulhakim N. A. Alsuhaibani
ABSTRACT: In this article, we study the use of the generalized viscosity approximation-type iterative methods in the generation of fractals as Julia and Mandelbrot sets for generalized rational map of the...
Open Access Article
Method of Computer Analogy and Its Applications
by Vladimir Aristov, Aleksandr Muzyka, Andrey Stroganov
ABSTRACT: This paper further develops a previously proposed method of computer analogy, based on the formalization of core computational properties: a finite number of digits and the transfer from one rank...
Open Access Article
Modeling the Cyclic Dynamics of a Tyrosinase-Based Catechol Sensor
by Dorathy Cathrine A., Raja R., Swaminathan R.
ABSTRACT: A cyclic redox reaction, mediated by L-ascorbic acid and involving catechol and 1,2-benzoquinone, forms the basis of the mathematical model developed for a tyrosinase-based amperometric biosensor....
Open Access Article
Classification of Multiple Abnormalities for X-Ray Images with Deep-Learning-Based Framework
by Ahmad Hoirul Basori, Sami Alesawi, Andi Besse Firdausiah Mansur, Purbandini P, Anas W. Abulfaraj, Sharaf J. Malebary
ABSTRACT: Obtaining an early and accurate diagnosis of pneumonia is crucial for enhancing the cure rate and reducing the mortality rate. The interpretation of chest X-Rays is contingent upon the physician's...