Contemporary Mathematics

ISSN: 2705-1064 (Print) 2705-1056 (Online) Description

Contemporary 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

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....