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 statistics, etc.

Impact Factor (2025) 1.4

Latest Articles

Open Access Article

Inverse Weibull-Rayleigh Distribution with Properties and Applications: A Member of the Inverse Weibull-X Family

by Md. Tusharuzzaman Tushar, Abir Ahmed, Yusra A. Tashkandy, M. E. Bakr, Md Jakir Hossen, Anoop Kumar, Alexis Habineza, Ahmed M. Gemeay, Abdullah Al Noman, Md. Mahabubur Rahman

ABSTRACT: This research introduces a novel class of distributions termed the inverse Weibull-X (IW-X) family, derived from the broader T-X family of distributions. We systematically develop and describe...

Open Access Article

Fractional Bullen-Mercer Type Inequalities via Majorization: A Conticrete Approach with Numerical Validation and Applications

by Tareq Saeed

ABSTRACT: This article establishes new Bullen-Mercer type inequalities through a unified framework combining majorization theory, convexity, and Riemann-Liouville fractional integrals. A generalized...

Open Access Article

The Sharp Inequalities on the Logarithmic Coefficients for Complex-Valued Functions Linked to the Domain of a Four-Leaf Type Function

by Reda Elbarougy, Muhammad Abbas, Muhammad Arif, Alina Alb Lupas, Muhammad Imran Faisal

ABSTRACT: A primary objective of examining coefficient inequalities for several families of complex-valued functions is to express their coefficients with respect to those of Carathéodory functions....

Open Access Article

New Explicit Solutions of the Zoomeron Equation Using Optimum Indexing Approach

by Bushra Yasmeen, Nahid Fatima, Khalil Ahmad

ABSTRACT: This paper presents the nonlinear physical model called the (2+1)-dimensional Zoomeron Equation that is one of the equations describing incognito evolution. We apply the Power Index Method (PIM)...

Open Access Article

A Delay-Embedded D-SIRS Model for Associated Credit Risk Contagion on Complex Networks: Threshold, Equilibrium, and Robustness Analysis

by Xiaogang Liu, Jinmian Han, Yue Lei, Dongqi Yue, Huaigu Tian

ABSTRACT: Associated credit risk can propagate through inter-firm credit, trade, asset, and liquidity linkages, particularly when risk recognition and intervention are delayed. Here we develop a...

Open Access Article

Finite Difference and Machine Learning Simulation of Magneto-Tetra-Hybrid Nanofluid Transport in Time-Dependent Constricted Arteries

by Muhammad Rooman, Nahid Fatima, Zahir Shah, Kamaleldin Abodayeh, Elisabeta Antonescu

ABSTRACT: This research examines the unsteady Magnetohydrodynamic (MHD) tetra-hybrid nanofluid blood flow in a time-dependent stenosed artery, focusing on momentum transport, augmentation of heat transfer,...

Open Access Article

A Note on Hesitant Fuzzy Approximation Spaces and Hesitant Fuzzy Topological Spaces

by Shizhan Lu, Yuanyuan Liu, Zhu Fu, Longsheng Cheng

ABSTRACT: A hesitant fuzzy element is defined as a discrete array characterized by complexity and diversity. Consequently, certain inadequate propositions have been identified in the existing literature on...

Open Access Article

Multilayer Perceptron-Based Solutions of the Riccati Equation Demonstrating the Impact of Activation Functions and Network Design

by Hetvi Patel, Yogeshwari F. Patel, Mohammad Izadi

ABSTRACT: This paper presents a multilayer perceptron (MLP)-based technique for solving the nonlinear Riccati equation, which frequently arises in science and engineering applications. The study emphasizes...

Open Access Article

Stability and Well-Posedness Analysis of the Fractional Shallow Water Wave Models with Applications

by Faten H. Damag, Fozaiyah Alhubairah, Maryam F. Alshammari, Khaled M. Saad, Adem Kiliçman, Amin Saif, Najah Alshammari

ABSTRACT: In this work, we present a comprehensive analytical investigation of the fractional Whitham-Broer-Kaup Equations (WBKEs), which model nonlinear oscillatory behavior in shallow water wave...

Open Access Article

Fractional Dynamics of Nonlinear Kersten-Krasil'shchik Coupled KdV-mKdV Systems: Analytical Insights Through Analytical Methods

by Yousuf Alkhezi, Ahmad Shafee

ABSTRACT: This study examines the fractional order formulations of the nonlinear coupled Korteweg-de Vries type systems in the wave interaction phenomena, especially the Kersten-Krasil'shchik KdV-mKdV...

Open Access Article

Transcription in Molecular Biochemistry: An Idealized Physical-Mathematical Model

by Ramón F. Álvarez-Estrada, Hélia Serrano

ABSTRACT: Transcription in molecular biochemistry has originated various established physicochemical descriptions: Brownian-ratchet and energy-landscape models for elongation/pausing, kinetic schemes,...

Open Access Article

Mathematical Assessment of the Reliability of Battery Systems of Electric Transport Rolling Stock Taking into Account Thermal Barriers

by Boris V. Malozyomov, Nikita V. Martyushev, Anton Y. Demin, Svetlana N. Sorokova, Egor A. Efremenkov, Denis V. Valuev, Andrei O. Kotov

ABSTRACT: A comprehensive mathematical framework for assessing the reliability of lithium-ion battery systems of urban electric transport rolling stock, taking into account selectively placed thermal...

Open Access Article

Characterizing the Solvability of Bipolar Equations in the Unit Interval

by David Lobo, Pablo López-Molina

ABSTRACT: Bipolar equations are the base of bipolar fuzzy relation equations, a modified version of fuzzy relation equations involving a negation operator. This paper characterizes the solvability of...

Open Access Article

New High-Dimensional Generalizations of Nesbitt's Inequality and Relative Applications

by Junfeng Zhang, Jintao Wang

ABSTRACT: Two kinds of novel generalizations of Nesbitt's inequality are explored in various cases regarding dimensions and parameters in this article. Some other cases are also discussed elaborately by...

Open Access Article

Partial Structural Equivalence Between Integral Neurons and a Subclass of RHONN Neurons

by Kostadin Yotov, Emil Hadzhikolev, Stanka Hadzhikoleva

ABSTRACT: This paper presents a comparative theoretical and experimental study of two contemporary neuron models: the integral neuron and the Recurrent High-Order Neural Networks (RHONN) neuron. The...

Open Access Article

Optimization of Diversity Redundancy Systems Based on Modified Shannon Index

by George Popov, Antoaneta Popova, Nikolay Hinov

ABSTRACT: Diversity redundancy in information systems aims to reduce systemic risk by distributing critical resources (e.g., servers, communication channels, and services) across heterogeneous component...

Open Access Article

The Exponential Integral Ei(x) and Numerical Calculation of Its Inverse

by Martin Ricker, Martin Singull

ABSTRACT: The exponential integral y = Ei( x ) = dx represents a transcendental function that can be applied as a growth function with interesting properties. Representing an infinite series, its...

Open Access Article

The Generalized (k, ϑ)-Fractional Integral and Derivative Operators: Advances in Fractional Calculus

by Warda, Gauhar Rahman, Muhammad Samraiz, Ahmad Aloqaily, Nabil Mlaiki

ABSTRACT: In this paper, we introduce the modified conformable fractional derivative and fractional integral operators, the so called ( k , ϑ )-conformable fractional derivative (CFD) and ( k , ϑ...

Open Access Article

Analytical Study of (2 + 1)-Dimensional Time Fractional Bogoyavlensky-Konopelchenko Model in Plasma and Fluid Dynamics

by Saleh Alshammari, M. Mossa Al-sawalha, Mohammad Alshammari, Yousef Jawarneh, Mohammed Al-Smadi, Mohammed Alabedalhadi

ABSTRACT: This paper studies the (2 + 1)-dimensional time fractional Bogoyavlensky-Konopelchenko model that is significant in plasma physics and fluid dynamics. We enhance the model with the Caputo...

Open Access Article

wb-Distance and Fixed Point Results on Metric Type Spaces

by Ahad Hamoud Alotaibi, Abdul Latif

ABSTRACT: In this paper, we introduce some applications of w b -distance concerning the existence of fixed point for single valued mappings on metric type spaces under some suitable conditions. To support...

Open Access Article

Mathematical Modeling of Electromagnetic Fields in Hypermaterials

by Boris V. Malozyomov, Nikita V. Martyushev, Anton Y. Demin, Svetlana N. Sorokova, Egor A. Efremenkov, Denis V. Valuev, Andrei O. Kotov

ABSTRACT: The development of technologies in the field of artificial materials with specially specified properties is a priority in the study of the properties of materials and their synthesis. In the...

Open Access Article

Rapid Quantification of CEST Parameters Based on Multi-Starting Point Optimization and Bloch-Mcconnell Analytical Solution

by Gang Xiao, Zhen Cao, Tingting Nie, Caiyu Zhuang, Yuhong Lu, Renhua Wu, Xiaolei Zhang

ABSTRACT: This study presents an innovative approach that combines multi-start (MS) optimization with the Bloch-McConnell eigenspace analytical solution for the rapid and accurate quantification of chemical...

Open Access Article

Modeling Dengue-COVID-19 Co-Epidemics via Crossover Discrete Time Systems with Variable-Order Fractional Memory

by Seham M. Al-Mekhlafi, Ahmed Boudaoui, Noura Laksaci, Thabet Abdeljawad, Bahaaeldin Abdalla

ABSTRACT: This paper develops a comprehensive discrete-time mathematical framework to investigate the co-circulation dynamics of two dengue virus strains and COVID-19 by integrating integer-order modeling...

Open Access Article

Results for Fuzzy Generalized Contractive Mappings Tailored with Directed Graph

by Usman Shehzad, Samina Batul, Dania Santina, Nabil Mlaiki

ABSTRACT: This paper introduces a novel class of graphic fuzzy generalized rational F -contractive mappings in controlled metric spaces endowed with a directed graph structure. Using these mappings, we...

Open Access Article

Exploring Soliton Behavior in Nonlinear Schrödinger Equation with Higher-Order Terms Via Extended Direct Algebraic Method

by Muhammad Bilal, Ikram Ullah, Alina Alb Lupas, Majeed Ahmad Yousif, Pshtiwan Othman Mohammed, Karim K. Ahmed

ABSTRACT: We study the propagation of optical solitons in nonlinear media using a nonlinear Schrödinger equation with higher-order terms. We achieve accurate solutions as brilliant and dark solitons using...

Open Access Article

Generalized Nonlinear Rational Contractions via Coupled Fixed Points Under a Binary Relation with Application to Fractional Differential Equations

by Asim Asiri

ABSTRACT: In this article, we use a binary relation to demonstrate the existence and uniqueness of fixed points and coupled fixed point results in the context of metric space under the new generalized ( φ,...