Contemporary Mathematics, Volume 7 Issue 1 (2026)



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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Transformation Semigroups Which Are Disjoint Union of Symmetric Groups

by Kritsada Sangkhanan, Utsithon Chaichompoo

ABSTRACT: Let Q_ E ∗ ( X ) be the subset of T_ E ∗ ( X ) consisting of all transformations that each E -class contains exactly one element of its image. Then Q_ E ∗ ( X ) forms a right group....

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

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

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

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

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

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

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

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

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

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

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

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

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

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...