Contemporary Mathematics, Volume 7 Issue 1 (2026), Forthcoming...



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

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

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

Fractal Analysis via Extended Fibonacci-Mann Iteration

by Zaib Un Nisa, Tayyab Kamran, Umar Ishtiaq, Ioan-Lucian Popa, Mohammad Akram

ABSTRACT: In this paper, we propose an extended iteration of the generalized Fibonacci-Mann technique to establish an escape condition for functions of the form ,where a and c are complex constants, n...

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

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

Biomechanics-inspired transformation and optimization plan for new energy vehicle transformers

by Lili Xu, Yuting Yu, Muhamad Nabil Hidayat, N. H Nik Ali

ABSTRACT: This study aims to deeply analyze a fault-tolerant LLC resonant DC-DC converter through biomechanical inspiration and explores its application in electric vehicle charging systems....

Open Access Article

Modality-Aware Adaptive-Integration Guided Single-Stream Network for RGB-T Saliency Detection

by Yu Pang, Hao Wu, Chengdong Wu, Yuanyuan Tan

ABSTRACT: RGB-T saliency detection becomes gradually a hot topic in saliency detection field recently. However, existing works (especially CNN based methods) usually use the two-stream structure to...

Open Access Article

Some New Convergence Approaches in Banach Spaces Involving the HK-Iteration Method with Application

by Hanif Ullah, Kifayat Ullah, Ali Asghar, Muhammad Tariq, Hijaz Ahmad, Mohamed F. Abouelenein

ABSTRACT: The Banach spaces is the most popular and well-known spaces in the subject of pure mathematics. Many mathematicians have worked on different concepts from different angles in the field of...

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

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

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

Refinements of Fejér-Type Inequalities Involving Special Functions

by Muhammad Tariq, Ali Asghar , Sanaullah, Hijaz Ahmad , Evren Hincal , Ibrahim Alraddadi, Noura Roushdy

ABSTRACT: Convexity associated with inequalities finds numerous and impressive applications in the field of applied mathematics, especially when it comes to fractional analysis. In this paper, we...

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

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

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...