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
CiteScore (2024) 0.9
Announcement
Jun 20,2025
Special Issue: Fuzzy and Algebraic Methods for the Modelling and Analysis of Complex Systems
Jun 20,2025Special Issue: Nonlinear Analysis and Operator Settings: Theory and Emerging Applications
Jun 19,2025Contemporary Mathematics Achieves 2024 Impact Factor of 2.5 and Q1 Ranking
Jun 16,2025Special Issue: Fractals, Fractionals and Partial Differential Equations
Jun 13,2025Special Issue: Optimization Problems Involving Metric Parameters in Graphs
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Latest Articles
Open Access Article
Intelligent Agent-Based Simulation of Fire Propagation in Multiple Environments
by Mailyn Moreno-Espino, Lázaro Michel Reyes-Valdés, Robert Ruben Benitez, Ariel López-González, Cornelio Yáñez-Márquez, Yahima Hadfeg-Fernández
ABSTRACT: Wildfire propagation in urban and forest environments poses significant challenges, particularly in regions like Cuba, where the interplay of diverse environmental factors amplifies the risks....
Open Access Article
Shock Wave and Singular Solitary Wave Perturbation with Gardners Equation Having Dispersion Triplet
by Lakhveer Kaur, Anjan Biswas, Ahmed H. Arnous, Yakup Yildirim, Luminita Moraru, Mushin J. Jweeg
ABSTRACT: The current paper recovers the shock wave and solitary wave solutions to the well-known Korteweg-de Vriesmodified Korteweg-de Vries (KdV-mKdV) equation with perturbation terms that is alternately...
Open Access Article
On Solvability of Group Equations Over Torsion-Free Groups
by Mairaj Bibi, Daniyal Asif , Muhammad Shoaib Arif, Kamaleldin Abodayeh
ABSTRACT: Let A be a group, ⟨ t ⟩ the free group generated by t , and let r ( t ) ∈ A ∗ ⟨ t ⟩ . The group equation r ( t ) = 1 is said to have a solution over A if a solution exists in some...
Open Access Article
Spectral Galerkin Scheme for the Post-Critical Dynamics of a Geometrically Nonlinear, Inextensible, Cantilevered Beam Subjected to Non-Conservative Forces
by Kazuho Ito
ABSTRACT: A spectral Galerkin scheme is proposed for a nonlinear model describing the large deflection and planar motion of an inextensible cantilevered beam subjected to non-conservative forces, such as...
Open Access Article
An Intelligent System for Automated Identification and Categorization of Plant Diseases
by Sai Krishna Gudepu, Vijay Kumar Burugari
ABSTRACT: Early crop disease detection is an important area of research towards Precision Agriculture (PA). Innovations like Artificial Intelligence (AI) and Internet of Things (IoT) have paved the way for...
Open Access Article
Liouville Theorems and Gradient Estimates for Positive Solutions to Δpu + Δqu + h(u) = 0 on a Complete Manifold
by Youde Wang, Jun Yang, Liqin Zhang
ABSTRACT: In this paper, we use the Saloff-Coste Sobolev inequality and Nash-Moser iteration method to study the local and global behaviors of positive solutions to the nonlinear elliptic equation ∆ p u...
Open Access Article
Adjusted Optimal Trimmed Theil-Sen Method for Multiple Regression Model, with Outliers Detection and Management
by Juthaphorn Sinsomboonthong, Achara Phaeobang, Saichon Sinsomboonthong
ABSTRACT: The objective of this research was to propose the adjusted optimal trimmed Theil-Sen (AOTS) method and compare the efficiency, with outliers, of four parametric and two nonparametric statistical...
Open Access Article
Dynamics of Predator-Prey Models with Negative Direct Effects of Climate Change
by Jawdat Alebraheem
ABSTRACT: The impact of climate change has become a very important topic and can have a direct impact on predator-prey interactions. Therefore, in this paper, we introduce a novel competitive predator-prey...
Open Access Article
Decompositions of Single-Valued Neutrosophic Continuity via Primalization
by Fahad Alsharari
ABSTRACT: This paper introduces new single-valued neutrosophic closure operators based on single-valued neutrosophic primals, laying the foundation for single-valued neutrosophic primal topologies. This...
Open Access Article
Variance of the Product of n Random Variables
by Talal Kurdi, Saralees Nadarajah
ABSTRACT: Identities for the variance of the sum of dependent/independent random variables are well known in undergraduate text books. But we are aware of no such identities for the product of...
Open Access Article
Automatic Recognition of Human Psychological State Based on EEG Data
by Kartlos Kachiashvili, Joseph Kachiashvili, Vakhtang Kvaratskhelia
ABSTRACT: The paper deals with the problem of binary classification of Electroencephalography (EEG) data using ordinary personal computers at making computation in real time. Eleven different criteria of...
Open Access Article
Perturbation of Solitary Waves and Shock Waves with Dispersion Triplet
by Lakhveer Kaur, Yakup Yildirim, Ahmed H. Arnous, Luminita Moraru, Aymen Mohammed Khodayer Al-Dulaimi, Amer Shaker Mahmood, Anjan Biswas
ABSTRACT: This paper recovers the solitary waves and shock waves from perturbed shallow water wave dynamics. The governing models considered are the KdV equation and the mKdV equation. The integration...
Open Access Article
A Modification of the Efficient Decomposition Shooting Method for Two-Point Boundary-Value Problems
by Nawal Alzaid, Kholoud Alzahrani, Huda Bakodah
ABSTRACT: This research aims to present two modified numerical approaches based on the efficient decomposition shooting method (EDSM) to find approximate and reliable solutions to the class of ordinary...
Open Access Article
Optimized Deep Federated Privacy-Preserving Learning for Hierarchical Caching in Fog Computing
by Hossein Ghasemzadeh, Javad Mohammadzadeh, Ali Soleimani, Azam Bastanfard
ABSTRACT: Fog Access Networks (F-ANs) have become a potential solution to meet the increasing demand for multimedia services by moving computational and storage functions closer to users at the network's...
Open Access Article
Transmutation of Distributions Using Generalized and Dual Generalized Order Statistics
by Manal Alharbi, Abdullah Almarashi, Muhammad Qaiser Shahbaz
ABSTRACT: Probability distributions are widespread across various fields, such as economics, science, and engineering. These distributions offer a way to represent complex occurrences in everyday life. The...
Open Access Article
Energy Storage System Selection for AI-Controlled Microgrids Using Complex Hesitant Fuzzy MCDM Approach Based on Dombi Operators
by Tahir Mahmood, Raja Zohaib Hayat, Jabbar Ahmmad, Ubaid ur Rehman, Dragan Pamucar
ABSTRACT: The current definition of the Complex Hesitant Fuzzy Set (CHFS), derived from the Ramot form of complex numbers, cannot process information as in Tamir’s complex fuzzy form. We have data with...
Open Access Article
On the Spatial Behaviour for Solutions to a Phase Transition Model Involving Two Temperatures
by Mohamed Ali IPOPA, Brice Landry Doumbé Bangola, Jean De Dieu MANGOUBI, Franck Davhys Reval LANGA
ABSTRACT: The aim, in this paper, is to study the spatial behaviour, in an unbounded domain, of solutions for a phase transition system involving two temperatures. When we want to determine the magnitude of...
Open Access Article
On Some New Milne-type Inequalities for Strongly Convex Functions
by Pradyumn Singh, Shashi Kant Mishra, Pankaj Kumar, Abdelouahed Hamdi
ABSTRACT: In this paper, we explore new Milne-type fractional integral inequalities, focusing on functions that are strongly convex and differentiable. We use tools like the Hölder inequality and the...
Open Access Article
Uniqueness of the Adjoint Problem in the Lagrange Sense for a Non-Local Boundary Problem with Complex Parameter
by Nihan A. Aliyev, Mahir A. Rasulov, Bahaddin Si̇nsoysal
ABSTRACT: The article is devoted to the problem of finding conjugate boundary conditions for a nonlocal conditional problem for a homogeneous ordinary differential equation of the second order, the...
Open Access Article
Cubic-Quartic Solitons for Gerdjikov-Ivanov Equation with Differential Group Delay in Presence of Multiplicative White Noise
by Hanaa A. Eldidamony, Taher A. Nofal, Yakup Yildirim, Ahmed H. Arnous, Amer Shaker Mahmood, Anjan Biswas
ABSTRACT: This study conducts an in-depth analysis of the Gerdjikov-Ivanov equation under the influence of multiplicative white noise, specifically within the context of birefringent fibers. By employing...
Open Access Article
A Study on Some Approximations on the Average Number of the LLL Bases in Higher Dimensions
by Jaewon Jung, Kyunghwan Song
ABSTRACT: The Lenstra-Lenstra-Lovász (LLL) algorithm, known as one of the main algorithms to decrypt the ciphertext encrypted by Lattice-based cryptography, outputs short basis vectors for n dimensional...
Open Access Article
Parametrization Framework for the Deceleration Parameter in Scalar Field Dark Energy Model
by Aroonkumar Beesham
ABSTRACT: The universe is currently experiencing acceleration. One way to explain this is via matter with negative energy, called dark energy. We propose a Friedmann-Lemaitre-Robertson-Walker cosmological...
Open Access Article
Improvement of the Fuzzy Clustering Algorithm for Medical Image Segmentation and Denoising Using Fast Bilateral Filtering
by Omid Darvishi, Vafa Maihami, Keyhan Khamforoosh
ABSTRACT: Medical image analysis often faces challenges due to noise, which can obscure crucial diagnostic information and hinder precise segmentation. Traditional denoising methods often fail to...
Open Access Article
Some Fast Summations of Fourier Series and Properties of Their Dirichlet-Type Kernels
by Anry Nersessian
ABSTRACT: One of the new approaches to accelerating the Fourier series's convergence is using a specific parametric biorthogonal system. In the simplest case, we discuss the so-called "traditional", simple...
Open Access Article
Gradient Estimate for Solutions of the Equation ∆pu = a|∇u|q +becu on a Complete Riemannian Manifold
by Jie He, Yilu Liu, Shiyun Wen, Hui Yang
ABSTRACT: In this paper, a universal gradient estimate for a quasilinear elliptic equation ∆ p u = a | ∇ u | q + be cu on a Riemannian manifold is presented. As applications, a Liouville...
Open Access Article
Homotopy Perturbation ρ-Laplace Transform Approach for Numerical Simulation of Fractional Navier-Stokes Equations
by Hamza Mihoubi, Awatif Muflih Alqahtani, Yacine Arioua, Brahim Bouderah, Tahar Tayebi
ABSTRACT: In this study, we tackle the time fractional discrete Navier-Stokes equation by employing the homotopy perturbation ρ-Laplace transform method (HPLTM), utilizing the Caputo-Katugampola fractional...
Open Access Article
Dark and Singular Optical Solitons for Kundu-Eckhaus Equation with Differential Group Delay by the Generalized ϕ6-Model Expansion
by Abdul-Ghani Al-Nowehy, Elsayed M. E. Zayed, Ahmed H. Arnous, Yakup Yildirim, Luminita Moraru, Anjan Biswas
ABSTRACT: This paper recovers optical solitons solutions with polarization-mode dispersion in optical fibers. The governing model is the Kundu-Eckhaus equation. The adopted integration scheme is the...
Open Access Article
Modelling Air Pollution Dynamics and Mitigation Strategies: A Mathematical Approach
by M. Aakash, C. Gunasundari, S. Athithan, G. Santhosh Kumar, Mutum Zico Meetei, Merdi Ahmed Orsud
ABSTRACT: In this paper, we explore the intricate dynamics of air pollution using a deterministic mathematical model. Our objective is to comprehensively analyse the factors that contribute to both...
Open Access Article
Mining High Utility Item Sets Through a Swarm-Based Optimization Method
by Raja Rao Budaraju, Sastry Kodanda Rama Jammalamadaka, Sasi Bhanu Jammalamadaka, Balakrishna Kamesh Duvvuri
ABSTRACT: Data mining identifies patterns in vast databases to support practical decision-making. Using association rule mining, the patterns in the transaction database are found and reveal client...
Open Access Article
Enhanced Frequency Control in Power Systems Using a Novel Meerkat Optimization Algorithm
by Yousefali Javanighadikolaei, Mohammad Tolou Askari, Meysam Amirahmadi, Majid Babaeinik
ABSTRACT: Frequency regulation in power systems remains a significant challenge due to inherent nonlinearities and dynamic load variations. This paper introduces a novel adaptive control strategy that...
Open Access Article
Analysis of a Queue Subject to Discouraged Arrivals, Customer Impatience, and Self-Switching Server Dynamics
by C. T. Dora Pravina, P. Kamala, S. Sreelakshmi, Sukumaran Damodaran
ABSTRACT: This study examines a single-server queue approach that discourages arrivals, accounts for impatient customers, and includes a self-switching server is considered. A queue with a single...
Open Access Article
Designing Effective Smart Farm Information Processing Platforms: An AHP-Guided Methodology
by Amir Mohamed Talib, Iyad Altawaiha, Rodziah Atan, Abdulaziz Alshammari, Abdulaziz Alsahli, Fahad Omar Alomary; Noraini Che Pa, Muhammad Naqiuddin Mohd Nazri
ABSTRACT: As the global population expands, the demand for increased food production necessitates a corresponding rise in agricultural productivity. Smart farming presents a transformative solution by...
Open Access Article
Decision Making on Statistical Convergence of Sequences of Sets of Order (α, β)
by Sunil K. Sharma, Ravi Kumar, Ajay K. Sharma, Arafa O. Mustafac, Hala S. Mahgoub, Albasha A. Gounid, Awad A. Bakery
ABSTRACT: In this paper we define Wijsman λ -statistical convergence of order ( α, β ) and studied some properties of this concept. We also make an effort to define Wijsman λ -statistical convergence of...
Open Access Article
Well-Posedness of the Dispersion-Generalized Modified Benjamin-Ono Equation in Generalized Fourier-Lebesgue Spaces
by Zijun Chen, Chunyan Huang
ABSTRACT: We consider the Cauchy problem of the dispersion-generalized modified Benjamin-Ono equation on the real line with low-regularity initial data. To this motivation, we apply a generalized...
Open Access Article
Fefferman's Inequality in Weighted Morrey Spaces
by Nicky Kurnia Tumalun, Philotheus E. A. Tuerah, Derel F. Kaunang, Marvel G. Maukar
ABSTRACT: We prove Fefferman's inequality in weighted Morrey spaces in this paper. More precisely, for the weight w belonging to booth A 1 and ∆ 2 , κ = ( n − 2 p ) / n , and f belonging to the...
Open Access Article
Identification of Delay-Tolerant Networking by Employing MABAC Technique Based on Bipolar Complex Fuzzy Dombi Heronian Mean Operators
by Tahir Mahmood, Azam, Ubaid Ur Rehman, Dragan Pamucar
ABSTRACT: This work proposes a hybrid decision making model for dynamic and irregularly connected communication systems called Delay-Tolerant Networks (DTNs). A resilient and adaptable network allows for...
Open Access Article
Exploration of Some Novel Integral Inequalities Pertaining to the New Class of (k, ρ)-Conformable Fractional Integrals
by Warda, Gauhar Rahman, Muhammad Samraiz, Salma Haque, Nabil Mlaiki
ABSTRACT: Conformable integrals and derivatives have received more attention in recent years as a means of determining different kinds of inequalities. In the research work, we define a novel class of ( k...
Open Access Article
Integrating Gaussian Processes and Adaptive Boosting for Complex Time Series Forecasting of S&P 500 Index
by Wen-Chen Huang
ABSTRACT: Accurately predicting financial markets remains a significant challenge due to inherent high volatility, nonstationarity, and the difficulty of conventional models in adapting to rapidly changing...
Open Access Article
Enhancing AI Depression Detection Using Transfer Learning
by Na Wang, Raja Kamil, Syed Abdul Rahman Al-Haddad, Normala Ibrahim, Zhen Zhao
ABSTRACT: Depression is a serious mental health disorder that poses significant challenges to individuals’ emotional well-being, daily functioning, and overall quality of life. While artificial intelligence...
Open Access Article
Non -Alcoholic Fatty Liver Early Prediction Using Squared Reinforcement Learning Based on Primary Biliary Cirrhosis
by Milad Tarighat, Javad Mohammadzadeh, Hadi Saboohi, Alireza Nikravanshalmani
ABSTRACT: Biomedical engineering and artificial intelligence encompass many intricate challenges worthy of investigation. An essential challenge within this domain is identifying an effective classifier...
Open Access Article
Extensive View for Implicit Second-Order Differential Equations with a Feedback Control
by A. M. A. El-Sayed, Sh. M. Al-Issa, H. H. G. Hashem, I. H. Kaddoura, M. E. A. Jaafar
ABSTRACT: The current research investigates the solvability and stability of implicit second-order differential equations subject to fractional integral boundary conditions under the influence of a...
Open Access Article
Rydberg Excitation in Infrared-Laser-Pulses Using a Stiffness Reducing Spectral Approach
by Rolf Gersbacher, John T. Broad
ABSTRACT: An effective spectral method based on square-integrable ( L 2 ) functions is presented to solve the Time- Dependent Schröedinger Equation (TDSE) of an atom in the presence of a strong, rapidly...
Open Access Article
Numerical Solutions of Time-Fractional N-W-S and Burger's Equations Using the Tarig Projected Differential Transform Method (TPDTM)
by Athira K, Narasimhulu D, P. S. Brahmanandam
ABSTRACT: Solving time-fractional nonlinear equations, such as the Newell-Whitehead-Segel (N-W-S) and Burger's equations, is inherently complex due to the intricacies of fractional calculus and the...
Open Access Article
A Systematic Literature Review on the Estimation of High Air Pollution Periods Using Machine Learning Approaches
by Nawwal Dhwaiher N Alrasheedi, Nurulkamal Masseran, Razik Ridzuan Mohd Tajuddin
ABSTRACT: Air pollution remains a pressing global issue, presenting serious threats to environmental sustainability and public health. This systematic review examines the application of machine learning...
Open Access Article
Design of Experiments Applications Review: Food Processing Engineering as an Example Field
by Bilel Hadrich
ABSTRACT: The relationship between food processing engineering and the various properties and qualities of the final product is both evident and significant for industrial companies and customers alike....