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   

Latest Articles

Open Access Article

Existence and Multi-Stability of a Generalized ABC Fractional-Order Neural Network Model

by Mohammad Alshammari, Saleh Alshammari, Mohammed S. Abdo

ABSTRACT: This study presents a fractional-order neural network model formulated using the Atangana-Baleanu-Caputo Fractional Derivative (ABC-FD) defined with respect to a generalized kernel function ϑ ( t...

Open Access Article

The Block Arithmetic Mean Iterative Method for Solving Radiation Transport Model

by Mohana Sundaram Muthuvalu, Mathiyalagan Kalidass, M. Sambath, Shaher Momani

ABSTRACT: This study presents the application of the 2-Point Block Arithmetic Mean (2-BLAM) method for solving radiation transport models formulated as first kind Fredholm integral equations. These...

Open Access Article

SPECTRE: Computational Methods in Natural Language Processing for Automated Hardware Trojan Insertion Using Large Language Models

by Moneer Alshaikh, Rashid Amin, Sajid Mehmood, Faisal S. Alsubaei

ABSTRACT: Experts Stealthy Processor Exploitation and Concealment Through Reconfigurable Elements (SPECTRE) is the new framework proposed in this paper to use the computational methods of Natural Language...

Open Access Article

Attractive Solutions for Hilfer-Katugampola Fuzzy Fractional Neutral Differential Equations

by Ramaraj Hariharan, Ramalingam Udhayakumar

ABSTRACT: This study investigates the existence and local asymptotic stability of solutions for fuzzy fractional neutral differential equations involving the Hilfer-Katugampola fractional derivative. The...

Open Access Article

On (a, d)-Total Neighborhood-Antimagic Labelings

by Zhen-Bin Gao, Gee-Choon Lau, Wai Chee Shiu, Feng-Xia Chen

ABSTRACT: Suppose G = ( V, E ) is a graph of p vertices and q edges. Let f : V ∪ E → {1, 2, . . . , p + q } be a bijection such that WT ( u ) = Σ[ f ( ux )+ f ( x )] (over every neighbor x...

Open Access Article

Generalized CR-Iteration Scheme with Application in Textile Designing

by Khaleel Ahmad, Umar Ishtiaq, Mohammad Akram, Ioan-Lucian Popa

ABSTRACT: In this manuscript, we develop a new iteration method that is generalized CR-iteration method. We generate the Julia and Mandelbrot set fractals for a complex function where c ∈ \{0},  p...

Open Access Article

Majorization-Based Conticrete Inequalities Involving the Caputo-Fabrizio Fractional Operators with Applications to Modified Bessel Functions and Special Means

by Tareq Saeed

ABSTRACT: The Hermite-Hadamard inequality is universally recognized as a highly influential inequality in mathematics. Nowadays, researchers are actively engaged in exploring its various improvements,...

Open Access Article

Mathematical Model for the Transmission and Control of Mastitis in Dairy Cows

by Biljana Zlatanovska, Dimitar Nakov, Mirjana Kocaleva Vitanova, Marija Miteva

ABSTRACT: Mastitis in dairy cows is a complex infectious disease that significantly impacts animal health, milk quality, and farm profitability. This study develops and analyzes a deterministic...

Open Access Article

SR-DARTS: Robust Differentiable Neural Architecture Search with Stability Regularization

by Huakun Wu, Gusheng Tian, Peng Zhang

ABSTRACT: Neural Architecture Search (NAS) has emerged as a powerful tool to find the best neural architectures with minimal manual intervention. However, existing NAS approaches suffer from poor...

Open Access Article

On Comparison for Approximate Solutions of Modified Time Caputo Fractional Kawahara Equations in Shallow Water Theory by Using Some Techniques

by Faten. H Damag, Amin Saif

ABSTRACT: In the theory of shallow water wave equations, the Kawahara equation and modified Kawahara equation are introduced to represent the solitary-wave propagation. In this paper, we use the residual...

Open Access Article

Pseudo-Spectral Method for Finite and Infinite Time Synchronization Problems

by A. Haji, M. H. Noori Skandari, D. Baleanu

ABSTRACT: This paper presents a unified pseudo-spectral framework for solving both finite-time and infinite-time synchronization problems in nonlinear dynamical systems. The core of our approach is the...

Open Access Article

Novel Soliton Solutions and Wave Interactions for the Nonlinear Fisher Equation Using Hirota’s Method: Applications in Plasma, Optics, and Material Sciences

by Dean Chou, Sajawal Abbas Baloch, Imran Siddique, Zaher Mundher Yaseen, Barno Abdullaeva

ABSTRACT: The nonlinear Fisher equation, which can be applied to crystallization, fluid dynamics, fiber optics, plasma, and biological population models, is of particular importance. We build bilinear...

Open Access Article

ProFair: Proactive Fairness-Aware Learning in Semi-Supervised Medical Image Classification

by Yunxiao Liu, Pingping Wang, Xiang Li, Kunmeng Liu, Jinyu Cong, Benzheng Wei

ABSTRACT: Semi-Supervised Learning (SSL) has emerged as a critical enabler for data-efficient diagnostic tasks in medical imaging. However, existing SSL approaches generally neglect inherent inter-class...

Open Access Article

Exact Solitary Wave Profiles for the Fisher Equation with Nonlinear Convection Term Arising in Physical Sciences

by Fahad Sameer Alshammari, Ali Akgül, Muhammad Jawaz, Syed Ahmad Aqeel, Muhammad Zafarullah Baber, Nauman Ahmed

ABSTRACT: In this manuscript, the reaction-diffusion Fisher equation is investigated analytically with the nonlinear convection term. The physical, chemical, and biological sciences all rely on the memory...

Open Access Article

A Novel Family of Discrete Variant Inequality for Jensen and Hermite-Hadamard Types in the p-Harmonic Convex Function Setting

by Faiza Azhar, Muhammad Imran Asjad, Majeed Ahmad Yousif, Alina Alb Lupas, Imran Abbas Baloch, Pshtiwan Othman Mohammed

ABSTRACT: This paper introduces a novel form of the discrete Jensen-type inequality specifically designed for p -harmonic convex functions, and extend it to the broader family of ( p , h )-harmonic convex...

Open Access Article

Intelligent Gamified Therapy Using Dilated Residual Network and Bayesian Inference Learning Automaton Based Reinforcement Learning for Emotional Regulation

by Youseef Alotaibi, Surendran Rajendran

ABSTRACT: Emotional well-being is essential for maintaining mental health, yet many individuals struggle with regulating negative emotions due to limited access to effective interventions. This study...

Open Access Article

Global Well-Posedness and Dynamics of Two-Component Reaction-Diffusion Systems with Arbitrary-Growing Nonlinearities

by Xuewei Ju, Mengran Li, Desheng Li

ABSTRACT: This work investigates the global well-posedness and long-term dynamics of two-component reaction-diffusion systems on bounded domains under homogeneous Dirichlet boundary conditions. We introduce...

Open Access Article

A Dynamically Adaptive Error-Based Varying Gain for Recurrent Neural Network to Solve Linear Time-Varying Equation

by Yuhuan Chen, Junliu Zhong, Wei He, Chengli Sun

ABSTRACT: Convergence performance is a very important index for the Recurrent Neural Networks (RNN). Network model structure, activation function and learning rate (also named as gain) are the general ways...

Open Access Article

A Front Fixing Crank-Nicolson Finite-Difference for the Solvability of the American Put Option Models

by Zakaria Idriss Ali, Minyahil Abera Abebe

ABSTRACT: In this paper, a new approach to solve the American put option pricing model has been discussed. The method is based on the front-fixing Crank-Nicolson finite-difference method with the reliance...

Open Access Article

Some Application on Subclass of Meromorphic Functions Associated with q-Analogue Multiplier Operator

by Ekram E. Ali, Rabha M. El-ashwah, Abeer M. Albalahi

ABSTRACT: In this paper, we introduce a new linear operator D r q (λ , ℓ)f(ζ ) and employ it to define a q-analogue of a differential operator acting on a newly developed subclass of meromorphic...

Open Access Article

Uniqueness Result for Inverse Problem of Determining Coefficient and Source Term in a Two-Term Time Fractional Diffusion Equation

by Xianzheng Jia, Gongsheng Li

ABSTRACT: In this paper, a two term time fractional diffusion equation is considered. Based on the technique of eigenfunction expansion and the Laplace transform, a uniqueness result for inverse problem of...

Open Access Article

Existence and Stability of Nonlinear Langevin FDEs with Mixed ψ-Hilfer and ψ-Caputo Derivatives Under Nonlocal Boundary Conditions

by Nedjemeddine Derdar, Mohammad Alshammari, Saleh Alshammari, Mohammed S. Abdo

ABSTRACT: In this paper, we investigate the existence, uniqueness, and Hyers-Ulam stability of a nonlinear fractional Langevin equation involving a generalized fractional derivative that unifies the ψ...

Open Access Article

Percentage Points for Testing Equality of Two Covariance Matrices Under Intraclass Correlation Structure

by Edwin Zarrazola, Raúl Alejandro Morán-Vásquez, Daya K. Nagar

ABSTRACT: By employing the inverse Mellin transform and the calculus of residues, we derive the exact null distribution of the likelihood ratio statistic for testing the homogeneity of covariance matrices...

Open Access Article

Dimensionality Reduction via Hierarchical Analysis of Partially Ordered Structures: LAPOS

by Elsayed Badr, Luai Ibrahim Alharbi, Moaaz Badr, Ahmed Zaghlol, Ahmed Hagag

ABSTRACT: Domains such as artificial intelligence, statistical modeling, and signal interpretation. This method aims to retain the core characteristics of datasets while minimizing their dimensional scope,...

Open Access Article

Complex Dynamical Analysis of a Discretized Fractional Order Tumor Dormancy Model with Chaotic Behavior

by Fuat Gurcan, Norah Alqenaei, Senol Kartal

ABSTRACT: A discrete fractional order model of tumor-immune interaction is proposed to investigate cancer dormancy. The investigation shows that the model undergoes a Neimark-Sacker bifurcation, leading to...

Open Access Article

A Fractal-Fractional Approach to Non-linear Predator-Prey Models with Logistic Growth, Holling Type II Functional Response and Immigration Effects

by Abdelkader Moumen, Arshad Ali, Khaled Aldwoah, Hicham Saber, Tariq A. Alraqad, Alaa M. Abd El-latif, Etaf Alshawarbeh

ABSTRACT: This paper develops a nonlinear fractal-fractional predator-prey model that incorporates logistic prey growth and immigration effects. The predator-prey interaction is characterized by a Holling...

Open Access Article

Derivations and Commutativity in Factor Rings over Prime Ideals

by Amjad E. Hamza, Ria Egami, Hicham Saber, Khaled Aldwoah, Radwan M. Al-omary, M. I. Elashiry

ABSTRACT: In this article, we will assume that N and K are ideals in any ring G , where N is non-zero and K is prime, with K being a proper subset of N . Our main goal is to prove that if the...

Open Access Article

Mathematical Analysis of Coupled System with Non Local Coupled Integral Boundary Conditions

by Kamal Shah, Aziz Khan, Thabet Abdeljawad, Muhammad Sher

ABSTRACT: This work is devoted to study a class of fractional order coupled system with nonlocal coupled Integral Boundary Conditions (IBCs). We use Conformable Fractional Order Derivative (CFOD) to...

Open Access Article

Dynamical Systems Perspective on a Stochastic SIR Model with Multiplicative Noise

by Shah Hussain, Mohammed Alghazi, Najla A. Mohammed, Ilyas Khan

ABSTRACT: We analyze a stochastic Susceptible-Infected-Recovered (SIR) epidemic model incorporating multiplicative environmental noise. Starting from positive initial conditions, we establish global...

Open Access Article

Deep Disaster-Net: A Multi-Objective Gradient-Hopping Optimized Framework with Adaptive Classifier Fusion for Post-Disaster Image Segmentation

by Merdin Shamal Salih , Zakir Hussain Ahmed, Dilovan Asaad Zebari , Nechirvan Asaad Zebari , Habibollah Haron, Reving Masoud Abdulhakeem, Harish Garg, Ibrahim Aldayel

ABSTRACT: Analysis of satellite images is an essential role in the response and recovery of disaster situations especially after a natural disaster like the hurricane. The conventional approaches of...

Open Access Article

Application of Horizontal Visibility Graph in Time Series Analysis of Emergency Department Diseases and Mining of Infectious Disease Characteristics

by Linyuan Zhang, Yuqi Liu, Man Zhou, Kezhao Xiong, Li Zhang, Chao Wu, Jian Liu, Hongjuan Lang

ABSTRACT: The conversion of time series into visualized networks is one of the most important tools for comprehending data patterns and trends. This study pioneers the application of a Horizontal Visibility...

Open Access Article

Transient Modeling for Faster Gas Sensor Response: An Efficient Mathematical Approach for MOX Sensors in Ethanol Detection

by Ata Jahangir Moshayedi, Mohammad Hadi Noori Skandari, Jiandong Hu, Abolfazl Razi, David Bassir

ABSTRACT: Gas sensor modeling remains a persistent challenge in sensor research, playing a vital role in enhancing performance, calibrating outputs, and developing robust detection algorithms. Among various...

Open Access Article

Extension of (η,φ)-Derivation on the CSL Subalgebra of von Neumann Algebra

by Abu Zaid Ansari, Faiza Shujat, Ahlam Fallatah

ABSTRACT: This article aims to demonstrate the following: consider , a Commutative Subspace Lattice (CSL) subalgebra of a von Neumann algebra acting on a Hilbert space . Suppose that are two linear...

Open Access Article

Exponential and Non-Exponential Similarity Measures for Bipolar Complex Fuzzy Sets and Their Application in CRM Software

by Tahir Mahmood, Muhammad Nusrallah, Ubaid Ur Rehman, Jabbar Ahmmad, Dragan Pamucar

ABSTRACT: Throughout the customer lifecycle, organizations monitor and analyze relationships with their current and potential customers using an approach and set of procedures called Customer Relationship...

Open Access Article

A Novel Picard-P Hybrid Iterative Scheme: Convergence Analysis and Applications

by Hayat Ullah, Kifayat Ullah, Bashir Nawaz, Krzysztof Gdawiec, Maggie Aphane, Maha Noorwali

ABSTRACT: The trend of incorporating the Picard iteration into already established iterative processes has led to highly efficient convergence results, as observed in cases such as the Picard-Noor hybrid,...

Open Access Article

Existence of Scalar Minimizers for 0-Nonconvex Autonomous Single Integrals with Relaxed Lagrangian at Zero Velocity Having No Isolated Local Minimum Points

by Clara Carlota, Mário Lopes, António Ornelas

ABSTRACT: We study the nonconvex integral , defined in the class of the absolutely continuous functions  x : [ a , b ]  having x ( a ) = A & x ( b ) = B , using a superlinear -measurable...

Open Access Article

A Social-Hydrological Framework for Assessing Irrigation Demand in Malawi: Linking Rainfall Variability and Poverty Dynamics

by Tichaona Chikore, Farai Nyabadza

ABSTRACT: Malawi is an agrarian country highly dependent on rain-fed agriculture located in the Sub-Saharan Africa region which is characterized by a highly variable climate. This study presents a novel...

Open Access Article

Quiescent Solitons for the Resonant Nonlinear Schrödinger’s Equation in Quantum Optics and Quantum Fluids

by Elsayed. M. E. Zayed, Mona El-Shater, Ahmed H. Arnous, Yakup Yildirim, Amer Shaker Mahmood, Ibrahim Zeghaiton Chaloob, Luminita Moraru, Anjan Biswas

ABSTRACT: This work constructs exact quiescent solitons of the resonant nonlinear Schrödinger equation with nonlinear chromatic dispersion and nine distinct self-phase-modulation laws. Using an enhanced...

Open Access Article

Neutrosophic Deep Neural Network and Its Application to Soil Microbe Analysis

by Rajeshwari Murugesan, Nasreen Kausar, Kaviyarasu Murugan, Dragan Pamucar

ABSTRACT: An overview of a Neutrosophic Deep Neural Network (NDNN) is given here to illustrate how artificial neural networks and neutrosophic sets can be combined to profit from the comprehensive truth,...

Open Access Article

Some Results on the Soft HG-Hypergroupoids

by Murat Alp, Mohammad Ali Dehghanizadeh

ABSTRACT: Within the broader landscape of hyperstructure theory, a particular class of algebraic systems known as hypergroup-hypergroupoids emerges as a subject of significant mathematical interest. The...

Open Access Article

QLViT: ALightweight Cell ClassificationMethod forMicroscope Images Based on MViTv2 and Linear Attention

by Panpan Wu, Zhangda Liu, Ziping Zhao, Rui Guo, Hengyong Yu

ABSTRACT: Accurate cell classification plays a vital role in the diagnosis and treatment of diseases. However, existing methods face challenges such as limited feature learning and excessive computational...

Open Access Article

Numerical Solutions for Boundary Value Problem of Mixed Convection Flow Inside a Rectangular Cavity with Heated Obstacles

by Adel Alblawi, Sohail Nadeem

ABSTRACT: The mixed convection flow and heat transfer in a vented rectangular hollow with an adiabatic enclosure and an interior solid obstruction that generates heat are investigated numerically. The...

Open Access Article

Adaptive Fractional-Order Fuzzy Sliding Mode Control for Glaucoma Dynamics Regulating Intraocular Pressure and Optic Nerve Protection

by David Amilo, Khadijeh Sadri, Evren Hincal, Mohamed Hafez

ABSTRACT: This research investigates glaucoma, a leading cause of blindness marked by progressive optic nerve damage due to uncontrolled Intraocular Pressure (IOP). We propose a novel fractional-order model...

Open Access Article

Numerical Solution to the Cargo LeRoux Model

by Ilyas Khan, Sidrah Ahmed, Adnan Rauf, Wei Sin Koh

ABSTRACT: This article presents the Godunov method applied to solve the Riemann problem for the isentropic Cargo LeRoux model. The pressure-density relation for this model yields Riemann invariants that are...

Open Access Article

Mathematical Modeling and µ-Synthesis-Based Robust Control of Boost DC-DC Converters Using MATLAB

by Nikolay Hinov, Bogdan Gilev

ABSTRACT: This paper presents a robust control framework for Boost Direct Current to Direct Current (DC-DC) converters based on µ -synthesis in MATLAB. The approach explicitly models structured parameter...

Open Access Article

Chirped Optical Soliton Perturbation for Fokas-Lenells Equation with Time–Dependent Coefficients and Multiplicative White Noise

by Elsayed. M. E. Zayed, Mona El-Shater, Ahmed H. Arnous, Omer Mohammed Khodayer Al-Dulaimi, Farag Mahel Mohammed, Ibrahim Zeghaiton Chaloob, Oswaldo Gonzalez-Gaxiola, Anjan Biswas

ABSTRACT: This paper investigates the stochastic Fokas-Lenells Equation (FLE) with time-dependent coefficients and multiplicative white noise to model the propagation of chirped optical solitons in...

Open Access Article

Simplified Analytical Formulation for Thermal Behavior Prediction of a PCM-Based Heat Storage System

by Tony Karam, Chantal Maatouk, Elias Al Sarraf

ABSTRACT: The use of Latent Thermal Energy Storage (LTES) systems in Adiabatic Compressed Air Energy Storage (ACAES) systems is expected to significantly improve the performance of electricity-generating...

Open Access Article

Quantifying the Bullwhip Effect in Supply Chains: A Stochastic Simulation Approach

by Abdulaziz T. Almaktoom

ABSTRACT: The Bullwhip Effect (BWE) occurs when orders made to suppliers have a bigger variation than sales to the buyer. This is a major concern that businesses are working on eliminating, as it has...

Open Access Article

Real-Time Trajectory Modelling of the Mean Tree Volume in a Forest Stand Through a Nonsymmetric Diffusion Process Analogy

by Petras Rupšys

ABSTRACT: This study focuses on the diffusion processes to predict the mean tree volume in a forest stand, considering the variability and uncertainty associated with regional, operational, and...

Open Access Article

Neutrosophic Binomial Distribution and Algorithm for Managing Uncertainty in Statistical Modeling

by Muhammad Aslam, Eid Sadun Alotaibi, Bayan Adel Shukr, Afnan Ali Almazmomi

ABSTRACT: This paper presents the neutrosophic binomial distribution, an innovative method for addressing uncertainty in statistical modeling. It explores the properties of neutrosophic random variables and...

Open Access Article

A MABAC Model Based on Linguistic Bipolar Complex Fuzzy Soft Information for Production Management in Taiwan

by Muhammad Asif, Zeeshan Ali, Vladimir Simic, Dragan Pamucar

ABSTRACT: Production management is dominant and essential in Taiwan because it confirms and certifies the effective use of timely delivery, resources, and high-quality output in an expert-driven and highly...

Open Access Article

Mond-Weir Duality and Optimality Conditions for Nonsmooth Bilevel Optimization Under Uncertainty

by Tareq Saeed, Rishabh Pandey, Yogender Pandey, Vinay Singh

ABSTRACT: In this paper, we study a class of nondifferentiable bilevel optimization problems in which uncertainty is incorporated through both the upper- and lower-level constraints. By utilizing an optimal...

Open Access Article

A Hybrid Approach to Managing Uncertainty in Decision-Making: The OrdPA-F Method for Pythagorean Fuzzy Rough Numbers and MARCOS

by Muhammad Imran Shahid, AQ Baig, Muhammad Kamran, Dragan Pamucar, Narzullayeva Umida Raxmatullayevna

ABSTRACT: In this paper, we introduce a novel hybrid Multi-Criteria Decision-Making (MCDM) model that integrates Pythagorean fuzzy sets and rough numbers to more effectively manage various uncertainties...

Open Access Article

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups

by Utsithon Chaichompoo, Kritsada Sangkhanan

ABSTRACT: Let T ( X ) be the full transformation semigroup on a set X . For an equivalence relation E on X , define a subsemigroup T E ∗ ( X ) of T ( X ) by Let Q E ∗   ( X ) be the...

Open Access Article

R2A-DSA: A Robust Resource Allocation Approach for Delay-Stringent Applications in IoT-Fog-Cloud Networks

by Kunam Subba Reddy, Zakir Hussain Ahmed, Yusliza Yusoff, Divya Nimma, Ismail Zahraddeen Yakubu, Ibrahim Aldayel, M. Rajasekaran, Harish Garg

ABSTRACT: Now-a-days, the exponential growth of Internet of Things (IoT) applications has intensified the demand for efficient resource allocation strategies to meet critical Quality of Service (QoS)...

Open Access Article

Probabilistic Evaluation of Industrial Systems Under Daily Operational Cycles with Constraints on Maximum Repair Time

by Mohamed S. EL-Sherbeny

ABSTRACT: This article focuses on the performance of a single-active-unit repairable industrial system with three different states of unit: active unit ( N ), partial failure unit ( P ), and complete...

Open Access Article

The Scientific Achievements of Professor Boling Guo

by Yufeng Lu, Shaobin Tan, Baoxiang Wang, Youde Wang

ABSTRACT: This paper is dedicated to Professor Boling Guo's 90th birthday by surveying his main contributions to nonlinear evolution equations, infinitely dimensional dynamical systems, soliton theory,...

Open Access Article

Hybrid Multi-Stage Analysis of Fractional p-Laplacian System: An Application to the SEIR Epidemic Model

by Mohamed S. Algolam, Mohammed Almalahi, Ria Egami, Sabri T. M. Thabet, Khaled Aldwoah, Abdelaziz Elsayed, Ashraf A. Qurtam

ABSTRACT: This manuscript is dedicated to the qualitative analysis of a novel class of nonlinear fractional differential equations designed to model multi-stage phenomena. The main focus is on a system that...