Contemporary Mathematics, Volume 6 Issue 6 (2025)



Open Access Article

A Quantum Public-Key Cryptosystem Without Quantum Storage for Public-Keys

by Xiaoyu Li, Zhipeng Fang

ABSTRACT: A quantum public-key cryptosystem without quantum storage for public-keys is provided. In traditional quantum public-key cryptosystems the public key of a user is a set of quantum systems. There...

Open Access Article

Novel Analytical Approaches for the Fractional Kundu-Mukherjee-Naskar Model in Nonlinear Optics

by Saleh Alshammari, Mohammad Alshammari

ABSTRACT: This study investigates exact traveling wave solutions for the time-fractional Kundu-Mukherjee-Naskar (KMN) equation, which plays a significant role in modeling nonlinear pulse propagation in...

Open Access Article

Optimized Euler-Based Fermat Factorization Method Using Parallel Computing

by Hazem M. Bahig, Ibrahim M. Alseadoon, Mohamed A.G. Hazber, Hatem M. Bahig, Dieaa I. Nassr

ABSTRACT: The Euler-based Fermat Factorization (EFF) method is a technique used to factor a positive odd integer n into two prime factors p and q . The method is based on representing n as the...

Open Access Article

A Priori and a Posteriori Error Estimates of Conforming Discontinuous Galerkin Method for Elliptic Problems

by Shenglan Xie, Peng Zhu, Xia Tao

ABSTRACT: The Conforming Discontinuous Galerkin (CDG) method is an innovative numerical approach for solving partial differential equations. Based on the Weak Galerkin (WG) method, it simplifies the...

Open Access Article

Joint SDN Controller and Microservice Placement for Scalable Deployments in Computing Continuum Networks

by Juan Luis Herrera, Sergio Laso, Javier Berrocal, Jaime Galán-Jiménez

ABSTRACT: The Internet of Things (IoT) paradigm is a crucial enabler for the computerization of real-world processes, and is becoming especially attractive in intensive domains. However, the critical IoT...

Open Access Article

Zener Viscoelastic Model Characterization Using the Atangana-Baleanu Fractional Derivative

by J. E. Palomares-Ruiz, J. G. Castro-Lugo, J. E. Ruelas-Ruiz, F. Munoz-Beltran, A. A. Rodriguez-Soto

ABSTRACT: The continuous search for new mathematical models that accurately represent real-world phenomena is a constant goal in the scientific community. To achieve this objective, the complexity of a...

Open Access Article

Dynamics of Prey Predator Model with Crowley-Martin Functional Response, Prey Refuge and Immigration of Both Species

by Jawdat Alebraheem

ABSTRACT: In this paper, we introduce a novel prey-predator model with Crowley-Martin functional response, prey refuge, and immigration of both species. The existence, positivity, and boundedness of...

Open Access Article

On Solving Caputo Fractional Windkessel Model with System of Cardiovascular Circulatory by Using Some Residual Maps Technique

by Faten H. Damag, Amin Saif

ABSTRACT: The Windkessel model provides a simplified framework for representing the cardiovascular system, emphasizing the role of arterial elasticity. It elucidates how the compliance of major arteries...

Open Access Article

The Autocorrelated Liu-Type Estimator: A Solution for Severe Multicollinearity and Autocorrelated Errors in Linear Regression Models

by Hussein Eledum

ABSTRACT: The simultaneous existence of severe multicollinearity and autocorrelated errors in linear regression models poses substantial challenges for estimation precision and model stability. Although...

Open Access Article

Adaptive Physics-Informed Neural Networks for One-Dimensional Reaction-Diffusion Models with Non-Lipschitz Nonlinearity and Free Boundaries

by So-Hsiang Chou, Tsung-Ming Huang, Zong-Ying Wu

ABSTRACT: We develop a novel framework based on Physics-Informed Neural Networks (PINNs) combined with Adaptive Dynamic Sampling (ADS) to solve one-dimensional reaction-diffusion equations with...

Open Access Article

Mean First-Passage Time in a Sphere Traversed by a Cylinder

by Hélia Serrano, Ramón F. Álvarez-Estrada

ABSTRACT: We study Mean First-Passage Times (MFPTs) for diffusive migration in finite three-dimensional domains motivated by organ-vessel architectures and intracellular transport. Focusing on a sphere...

Open Access Article

Ethical Dimensions in Supplier Selection Sustainability: Introducing the Modified MARCOS Method via Fuzzy-Rough Set with the LMAW Approach

by Adis Puška, Darko Božanić, Anđelka Štilić, Dragan Pamučar, Miroslav Nedeljković, Dragan Marinković

ABSTRACT: This research presents a novel approach to supplier selection by integrating economic, environmental, and ethical criteria. The case study of Company 3B, a food production company, illustrates...

Open Access Article

Existence of Solutions and Ulam Stability Analysis of Implicit (p, q)- Fractional Difference Equations

by Mouataz Billah Mesmouli, Loredana Florentina Iambor, Osman Tunç, Taher S. Hassan

ABSTRACT: This paper studies the existence theorems and Ulam stability results of solutions for implicit ( p, q )-fractional difference equations. By applying Banach and Schauder fixed-point principles, we...

Open Access Article

Novel Results on Applications of Differential Subordination on Analytic Functions Associated with Zeta-Riemann Fractional Differential Operator

by Ekram E. Ali, Rabha M. El-ashwah, Abeer H. Alblowy, Altaf Alshuhail, Fozaiyah A. Alhubairah

ABSTRACT: The findings of this study are connected with geometric function theory and were acquired by using subordination-based techniques in conjunction with Zeta-Riemann fractional differential operator...

Open Access Article

A Modified Laplace Fractional Residual Power Series Technique for Handling Non-linear Models of Fuzzy Partial Differential Equations of Fractional Order

by Mohammad Alaroud, Nedal Tahat, A. K. Alomar

ABSTRACT: In this work, the time-nonlinear fuzzy fractional order partial differential equations with a suitable fuzzy initial data in the presence of the Caputo differential operator are analytically and...

Open Access Article

A Novel Fixed Point Framework for Positive Solutions to Coupled Undamped Sturm-Liouville Systems

by Boddu Muralee Bala Krushna, Sumati Kumari Panda, Hamed Alsulami, Nawab Hussain

ABSTRACT: This study addresses the existence of at least one positive and nondecreasing solution to a system of secondorder undamped Sturm-Liouville Boundary Value Problems (BVPs). By carefully analyzing...

Open Access Article

Improved Cluster-Wise Inference in Functional Magnetic Resonance Imaging via Geometric Redefinition of Cluster Size

by Huashuai Xu , Yuge Xing , Weiya Guo , Dongdong Zhou, Huanjie Li

ABSTRACT: Accurate identification of significant activations in functional Magnetic Resonance Imaging (fMRI) is essential for reliable neuroimaging research. Cluster-wise inference based on Random Field...

Open Access Article

Gap Dromions and Domain Walls with Dispersive Reflectivity Having Cubic-Quintic-Septic-Nonic Self-Phase Modulation in Presence of Multiplicative White Noise

by E. M. E. Zayed, Khaled A. E. Alurrfi, Manar S. Ahmed, Ahmed H. Arnous, Yakup Yildirim, Luminita Moraru, Amer Shaker Mahmood, Ibrahim Zegalhaiton Chaloob, Farag Mahel Mohammed, Anjan Biswas

ABSTRACT: This paper is about the retrieval of gap dromions in presence of multiplicative white noise. The self-phase modulation structure is with cubic-quintic-septic-nonic structure. Two integration...

Open Access Article

Enhanced Short-Term Scheduling of Underground Mining Activities Using Tabu Search: A Comparative Analysis

by Luis Álvarez, Heber Hernández, Elisabete Alberdi, Aitor Goti

ABSTRACT: The planning of preparation and development activities in underground mining is essential to ensure efficiency and operational continuity. However, short-term scheduling of these tasks has...

Open Access Article

A Novel Iterative Method for the Split Common Fixed Point Problem with Application to Variational Inequalities

by Doaa Filali, Mohmmad Dilshad, Imo Kalu Agwu, Mohammad Akram

ABSTRACT: We extend the notion of asymptotically nonexpansive mapping to the more general class, namely, e -enriched asymptotically nonexpansive mappings. It is shown, with an example, that the class of e...

Open Access Article

Theoretical and Numerical Simulation of a Discrete Fractional Order HIV Model with Latency

by F. Gassem, Mohammed Almalahi, Ria Egami, Khaled Aldwoah, Abdelaziz Elsayed, Ashraf A. Qurtam

ABSTRACT: This paper presents a novel discrete fractional-order mathematical model to describe the dynamics of Human Immunodeficiency Virus (HIV) infection, incorporating the critical role of latent...

Open Access Article

Positive Solutions of Hybrid Nonlinear Integro-Fractional Differential Equations via Dhage's Fixed Point Theorem

by Mouataz Billah Mesmouli, Loredana Florentina Iambor, Youssef N. Raffoul, Taher S. Hassan

ABSTRACT: This paper investigates the existence, uniqueness, and monotonicity of positive solutions for a new class of hybrid nonlinear fractional integro-differential equations involving the...

Open Access Article

Investigating Lie Group Symmetry and Analyzing Stability in Mathe-matical Modeling of the HIV Epidemic

by Maba Boniface Matadi

ABSTRACT: This study explores the dynamics of the Human Immunodeficiency Virus (HIV)/Acquired Immunodeficiency Syndrome (AIDS) pandemic using stability and Lie symmetry analysis. The stability analysis...

Open Access Article

Feng-Liu's Type Fixed Point Theorem in Modular Function Spaces

by Mehreen Asif, Tayyab Kamran, Umar Ishtiaq, Ioan-Lucian Popa

ABSTRACT: We establish a Feng-Liu's type fixed point theorem within the framework of modular function spaces. Using this result, we investigate the existence of solutions to a Volterra-type integral...

Open Access Article

Longitudinal Vibration of Defected Single-Layer Nanoplate Using Nonlocal Elasticity Theory

by Mahmoud M Selim, Saad Althobaiti

ABSTRACT: This article deals with the longitudinal vibrations of a defective single-layer nanoplate. Based on the nonlocal elasticity theory, Kirchhoff plate theory, and von Kármán theory, the longitudinal...

Open Access Article

Numerical Solutions of Coupled Fractional Diffusion-Reaction Equations Using q-HMTM and MVIM

by Mohammad Alshammari, Saleh Alshammari

ABSTRACT: This paper gives a thorough description of  q -Homotopy Mohand Transform Method ( q -HMTM) and Mohand Transform Variational Iteration Method in solving nonlinear fractional partial...

Open Access Article

Differential Subordination Properties for Non-Bazilevič Functions Connected with a q-Calculus Operator

by Ekram E. Ali, Georgia Irina Oros, Rabha M. El-Ashwah, Wafaa Y. Kota, Abeer M. Albalahi

ABSTRACT: This paper demonstrates applications of q -calculus operators in geometric function theory with the use of differential subordination properties on non-Bazilevič functions with respect to k...

Open Access Article

Multi-Term Nonlinear Fractal-Orders Delayed Abel Integral Equation: Existence of Solutions, Stability, and Applications

by Ahmed M. A. El-Sayed, Hanadi Zahed, Shaymaa I. Nasim, Eman M. A. Hamdallah

ABSTRACT: In this paper we study a multi-term non-linear fractal orders delayed integral equation of the second kind. We examine the existence of integrable solution x ∈ L 1 [0, T ]. Under certain...

Open Access Article

A New Modified Extended Generalized Inverted Exponential (NMEGIEx) Distribution: A Distribution for Flexible and Accurate Data Analysis

by Joseph Odunayo Braimah, Ibrahim Sule, Olalekan Akanji Bello, Fabio Mathias Correa

ABSTRACT: This study proposes and investigates a New Modified Extended Generalised Inverse Exponential (NMEGIEx) distribution, a novel distribution. The basic one-parameter inverse exponential distribution...

Open Access Article

Cryptanalysis of Augmented Hill Cipher

by Rania Saeed, Hatem M. Bahig, Dieaa I. Nassr

ABSTRACT: The Augmented Hill Cipher (AHC) is a modified Hill Cipher that uses three secret keys and semi-cipher block chaining as its mode of operation. AHC is claimed to be secure. Recently, it has been...

Open Access Article

New Constructions of Landsberg Non-Berwaldian (α, β)-Metrics

by Salah Gomaa Elgendi

ABSTRACT: In this paper, we present new constructions of non-regular Finsler metrics of ( α ,  β )-type that satisfy the Landsberg condition without being Berwaldian. These examples contribute to the...

Open Access Article

Fractional-Order Modeling and Stability Analysis of HIV Infection with and Without Antiretroviral Therapy Treatment

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

ABSTRACT: This article formulates and examines a fractional-order model for Human Immunodeficiency Virus (HIV) infection using Caputo’s derivative in order to model memory-reliant dynamics. The model...

Open Access Article

Fluctuating Free Convection Flow of Casson Dusty Fluid in an Inclined Microchannel Under Wall Shear Stress and an Inclined Magnetic Field

by Dolat Khan, Gohar Ali, Zeeshan Ali, Dragan Pamucar, Subhan Ullah

ABSTRACT: This study examines the unsteady free convection flow of Casson dusty fluid within an inclined microchannel under the influence of wall shear stress and an inclined magnetic field. The fluid is...

Open Access Article

Compression with Wildcards: All Models of a Boolean 2-CNF

by Marcel Wild

ABSTRACT: Let W be a finite set which simultaneously serves as the universe of any poset ( W , ≤) and as the vertex set of any graph G . Our algorithm, abbreviated All-Independent-Ideals (A-I-I),...

Open Access Article

Novel Fuzzy Versions of Generalized Fractional Integrals and Related Mathematical Inequalities via Newly Defined Fuzzy Convexity

by Muhammad Khan, Miguel Vivas-Cortez, Altaf Alshuhail, Loredana Ciurdariu, Nurnadiah Zamri

ABSTRACT: In this study, the main aim is to establish a set of novel inequalities that enhance the mathematical inequalities discussed. This paper introduces a new fuzzy fractional integral framework along...

Open Access Article

Error Analysis and Model Efficiency for the Jaulent-Miodek System Using Physics-Informed Neural Networks

by Ahmad Shafee

ABSTRACT: This paper focuses on approximate solution of the Jaulent-Miodek nonlinear-coupled partial differential equations. Physics-Informed Neural Network (PINN) architecture is implemented to find an...

Open Access Article

The Endemic Trap: Proactive Early Intervention as the Key to Elimination in the Epidemiological Dynamics of Dual Thresholds

by Moh Hasan, Faizal Rifky Fahreza

ABSTRACT: Discrete system dynamics play a vital role in understanding the spread of infectious diseases, especially during pandemics. In this study, bifurcation analysis is employed on a discrete model...

Open Access Article

A Granular-Ball Based Online Streaming Feature Selection Algorithm

by Jiangdi Yang, Shaokun Jia, Chenglin Zhang, Jie Yang, Fan Zhao

ABSTRACT: Online Streaming Feature Selection (OSFS) is a feature selection method to identify relevant features in real-time from high-dimensional, continuously generated data streams. Traditional methods...

Open Access Article

New Stirling-Type Approximations for the Gamma Function

by Mansour Mahmoud, Hanan Almuashi, Cristinel Mortici

ABSTRACT: This paper presents a set of new and precise Stirling-type formulas that approximate the Gamma function and provide associated sharp bounds. The proposed approximations are constructed using...

Open Access Article

Hydraulic Analysis of Water Distribution System Under Interval-Valued Fuzzy Set

by Zhe Zhao, Zhihao He, Jiazhu Zheng, Yumin Wang

ABSTRACT: Hydraulic analysis of Water Distribution System (WDS) is usually performed with single uncertainty of pipe roughness coefficient. However, in real world multiple uncertainties exist. In this...

Open Access Article

Radon-Transform-Based Similarity Measures for Non-Affine Deformable Image Registration

by Rodrigo Quezada-Aguayo, Axel Osses, Daniel E. Hurtado

ABSTRACT: Deformable Image Registration (DIR) is a fundamental problem in biomedical imaging that analyzes organ displacements and deformations by comparing images from different states. DIR becomes...

Open Access Article

Application of a Generalized Balloon-Shaped Domain on Bi-Bounded Turning Functions

by Timilehin Gideon Shaba, Lakhdar Ragoub, Daniel Breaz, Luminiţa-Ioana Cotîrlă

ABSTRACT: This study addresses the contemporary scholarly interest in analytic functions tailored for specific domains and functions within the unit disk. These functions hold significant relevance across...

Open Access Article

Eccentricity Centrality of the Comb Product Between Well-Known Graphs and Interval Graphs: Applications in Warehouse Network Optimisation

by Shaoli Nandi, Sukumar Mondal, Sovan Samanta, Sambhu Charan Barman, Leo Mrsic, Antonios Kalampakas, Tofigh Allahviranloo

ABSTRACT: In network analysis, measuring centrality is essential for determining the relative importance of each vertex within a network. A vertex with higher centrality signifies greater importance...

Open Access Article

Reckoning Common Fixed Point of Enriched Pseudocontractive Mappings: An Iterative Approach

by Doaa Filali, Mohammad Dilshad, Imo Kalu Agwu, Mohammad Akram

ABSTRACT: We extend the notion of ( a , k )-enriched strictly pseudocontractive mappings to the notion of the more general aenriched pseudocontractive mappings. It is shown with examples that the class of...

Open Access Article

Stochastic SEIR Model with Two Infectious Classes Under Environmental Variability: Well-Posedness, Extinction Persistence Thresholds, and Milstein Based 3D Simulations

by Shah Hussain, Asma Khalid, Saira Javed, Ilyas Khan

ABSTRACT: We study a stochastic Susceptible-Exposed-Infectious-Recovered (SEIR) model with two infectious classes that capture behavioral heterogeneity: a primary (lower-compliance) class I u and a...

Open Access Article

Collocation Method for Functional 3-Kind Volterra Integral Equations

by Dana Tahsin Abdul Rahman, Parviz Darania

ABSTRACT: In this work, we present a numerical approach based on the collocation method for solving weakly singular. Volterra Integral Equations of the Third Kind (3K-VIEs) with proportional delays. We...

Open Access Article

Local Wavelet Transform on a Helix Space Curve Based on Frenet Frame

by Xiaohui Zhou, Jian Zhu

ABSTRACT: Based on the Frenet frame, the approximate Local Wavelet Transform (LWT) is investigated on a class of generalized helix curves by their tangent projections at specific points. Initially,...

Open Access Article

Chaotic Dynamics in the Cheeger Problem: A Focus on Rectangular Geometries

by Praveen Kumar Kushwaha, Lakshmi Narayan Mishra

ABSTRACT: This paper presents a novel investigation into the dynamics of the Cheeger problem for rectangular domains. The study introduces a new framework by defining the dynamical system associated with...

Open Access Article

Robust Approximation for Non-Linear Variable-Distributed Fractional Differential Equation with Non-Smooth Solutions

by A. Emin, M. A. Abdelkawy, Anjan Biswas

ABSTRACT: This article introduces a spectral method aimed at estimating solutions for nonlinear Variable Distributed-Order Fractional Differential Equations (VDO-FDEs) with a non-smooth solution in...

Open Access Article

Modulation Instability and Novel Exact Soliton Solutions of the Nonlocal Kundu-Eckhaus Equation

by Md Alamgir Hossain, Md. Nur Alam, Shams Forruque Ahmed , Cemil Tunç

ABSTRACT: Diverse fields of modern science, including mathematical modeling and physics, plasma physics, atmospheric sciences, marine sciences, hydrodynamics, nonlinear mechanics, and other complex...

Open Access Article

On the Role of Intuitionistic Fuzzy Preinvex Mappings in Fuzzy Optimization Using Variational-Like Inequalities

by Tareq Saeed

ABSTRACT: In this article, we generalize the notion of fuzzy ( F ) invex sets and preinvex functions, and introduce the ideas of intuitionistic fuzzy ( I F ) invex sets and preinvex functions. These...

Open Access Article

Marczewski-Burstin Representation of Soft Algebras

by Zanyar A. Ameen, Ljubiša D. R. Kočinac, Badr Alharbi

ABSTRACT: Using Marczewski and Burstin’s ideas, we present a general scheme for defining the concepts of ( s )-sets and ( s 0 )-sets in soft environments. We show that the classes of all soft ( s )-sets...

Open Access Article

Fractional-Order Analysis of HTLV, HPV, and HIV Co-Infection Dynamics

by Vediyappan Govindan, Selvam Arunachalam, Dumitru Baleanu, Busayamas Pimpunchat

ABSTRACT: Fractional calculus concept has proven to be a great, powerful, and effective tool in analyzing mathematical models across diverse various fields of scientific and engineering domains. A...

Open Access Article

Modeling Support and Resistance Zones in Financial Time Series with Stochastic and Volume-Weighted Methods

by Nikita Martyushev, Vladislav Spitsin, Mark Khairov, Lubov Spitsina

ABSTRACT: This paper proposes a unified mathematical framework for the formalization and forecasting of Support and Resistance (S/R) zones in financial time series. Empirical evaluation shows that our...

Open Access Article

Collocation Method by Exponential Functions for Solving the System of Differential Equations and Error Bound

by Lakhlifa Sadek, A. Manickam, Şuayip Yüzbaşi, Ioan-Lucian Popa

ABSTRACT: This paper introduces three novel numerical approaches for solving linear matrix differential equations. Leveraging exponential functions and collocation points, these methods transform the...

Open Access Article

Applications of Intuitionistic Fuzzy Sets to Decision-Making Using AG-Groupoids and Klein Four-Group

by Faisal Yousafzai, Muhammad Danish Zia, Yiu-Yin Lee, Murad-ul-Islam Khan

ABSTRACT: This paper proposes a novel decision-making framework that integrates algebraic structures within intuitionistic fuzzy logic to address complex real-world decision-making scenarios involving...

Open Access Article

Mathematical simulation for influence of thermocapillary radiative MHD unsteady couple stress ternary hybrid nanofluid on stretching parallel surface

by Ali Rehman, Sudarmozhi K, Zeeshan Ali, Dragan Pamucar, Dolat Khan, Abdullah Aziz Saad

ABSTRACT: This study aims to provide a thorough mathematical simulation of the effects of heat radiation and thermocapillarity on the time-dependent flow of couple stress ternary hybrid nanofluid across a...

Open Access Article

Solving Mixed Integer Geometric Programming Problems

by Elahe Hajimohamady, Mansour Saraj, M. Momeni, F. Kiany

ABSTRACT: Geometric Programming (GP) with integer variables is an area of active research that has drawn significant interest over the past few decades. Our approach first converts all non-convex terms of...

Open Access Article

Modeling the Discrete Uniform Distribution Under Indeterminacy with Data Generation Algorithms

by Muhammad Aslam, Florentin Smarandache

ABSTRACT: The classical discrete uniform distribution and traditional algorithms for it are not suitable for uncertain environments and do not account for the degree of indeterminacy. To address these gaps,...