Advances in Mathematical Physics

2009 - 2025

Continuation of Advances in Mathematical Physics.

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Volume 2025, issue 1, 2025

Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model

Md. Abde Mannaf, Muktarebatul Jannah, Md. Habibul Bashar, Md. Ekramul Islam, Md. Zuel Rana, Mst. Tania Khatun, Md. Noor-A-Alam Siddiki and Md. Shahinur Islam

Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field

Sureshkumar S., Krishna B. Chavaraddi, Priya M. Gouder, G. K. Ramesh, J. K. Madhukesh, Umair Khan, Anuar Ishak and Syed Modassir Hussain

Energy‐Minimization Models for Hybrid Carbon Nanotori Production

Nawa A. Alshammari

Extending General Covariance: A Unified Framework for Electromagnetic Interactions and Geometric Unification

Xiulin Huang and Yan Xu

MHD Free Convective Transport Through an Inclined Porous Sheet With Thermal Radiation Effect: An Unsteady Analysis

Mahamudul Hassan Milon, Md. Hasanuzzaman and Md. Asaduzzaman

Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential

Ishrat Bibi, Shah Muhammad, Muhammad Shakeel and Baboucarr Ceesay

Wave Propagation in Fractional Space: A Riesz Derivative Approach

Sami I. Muslih

A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional‐Order Delay Parabolic Equation

Nuru Ahmed Endrie and Gemechis File Duressa

Leveraging Attention Mechanisms in Neural Networks for High‐Order Accuracy in Particle‐in‐Cell Simulations

Jian-Nan Chen and Jun-Jie Zhang

Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg‐de Viries Equation in Fluid Dynamics

Ercan Çelik

Exploring Microbial Dynamics and Heat Transmission in a Nonlinear Radiative Maxwell Nanomaterial With Sensitivity Analysis

B. M. Jewel Rana, Saiful Islam, Md. Yousuf Ali and Md. Mamun Molla

Construction of the Shifted Modified Gegenbauer Polynomials and Approximation

Abdelhamid Rehouma and Hossein Jafari

Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators

Hasan Öğünmez and Mehmet Zeki Sarikaya

General Relativity Sans Differential Geometry: Representing Tensor Elements by Exponential Terms

Donald H. Eckhardt and José Luis Garrido Pestaña

Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium‐Doped Fiber

Asma Taskeen, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Baboucarr Ceesay and Nauman Ahmed

Modeling to Engineering and Failure Times Data: Using the Marshall–Olkin Extended Exponential Distribution

Ibrahim E. Ragab, Najwan Alsadat, Mustapha Muhammad, Suleman Nasiru and Mohammed Elgarhy

Eigenvalue Localization Inequalities for Complex Matrices With Order n ≥ 3

Rong Ma and Feng Zhang

Abundant Families of Explicit Solitary Wave Structure for the Time‐Fractional Nonlinear Electrical Transmission Line Model With Its Modulation Instability

Nadia Javed, Nauman Ahmed, Baboucarr Ceesay and Muhammad Zafarullah Baber

Ground State Solutions for General Choquard Equation With the Riesz Fractional Laplacian

Sarah Abdullah Qadha, Muneera Abdullah Qadha, Haibo Chen and Yuying Zao

Derivation of the Lorentz Transformations for Three‐Dimensional Relative Motion Between Inertial Frames of Reference

Chandra Bahadur Khadka

On the Question of the Solution of the Wave Equation

A. E. Volvach, L. P. Kogan, I. T. Bubukin and L. N. Volvach

An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Abeer M. Al-Bugami and M. A. Abdou

Casson Fluid Flow Through Porous Media on an Exponentially Stretched Surface in the Presence of a Transverse Magnetic Field and Chemical Reaction

Issah Abubakari and Ibrahim Yakubu Seini

Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions

Mulualem Aychluh, D. L. Suthar, S. D. Purohit and Biniyam Shimelis

Entropy Generation Analysis in MHD Nanofluid Flow Using the Brinkman–Forchheimer Model in a Quadrantal Porous Enclosure

Muhammad Jameel, Muhammad Salim Khan, Zahir Shah and Meshal Shutaywi

Stationary‐Angle Conditions and Bertrand Offsets in Timelike‐Ruled Surfaces

Areej A. Almoneef and Rashad A. Abdel-Baky

A Simple and Effective Second‐Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo‐Tempered Fractional Derivative

Dechao Gao, Zeshan Qiu, Lizan Wang and Jianxin Li

A Physical Causality—Information Manifold With a Pythagorean Metric in Special Relativity

Roland Riek

On the Study of Nonlinear Murray Equation in Non‐Newtonian Fluids: Fractional Solitary Wave Structures, Chaos, and Sensitivity Demonstration

J. Muhammad, U. Younas, Haroon, H. Mukalazi, M. E. Meligy and K. A. Alnowibet

A Newmark Integral Method in Nonhomogeneous Materials With Parallel Cracks Based on Hyperbolic Heat Conduction

Yanyan Zhang, Tao Zheng, Liangzhong Ao, Shanqiao Huang and Zengtao Chen

Dynamics Analyses and Parameter Estimation of an Improved Fractional‐Order SEAIRQ COVID‐19 Dynamic Model Based on Two Types of Fractional Derivative Operators

Tian-zeng Li, Rong Kang, Yu Wang and Yu Zhao

Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink

Hundasa Chala Nagari, Mitiku Daba Firdi and Ebba Hindebu Rikitu

Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time‐Varying Parameter Interference

Chunli Zhang, Yangjie Gao and Fucai Qian

Volume 2023, issue 1, 2023

Fractional Soliton and Semirational Solutions of a Fractional Two‐Component Generalized Hirota Equation

Sheng Zhang, Feng Zhu and Bo Xu

Flow Dynamics of Eyring–Powell Nanofluid on Porous Stretching Cylinder under Magnetic Field and Viscous Dissipation Effects

Ebba Hindebu Rikitu

High‐Order Spectral Method of Density Estimation for Stochastic Differential Equation Driven by Multivariate Gaussian Random Variables

Hongling Xie

Analysis and Prediction of the Dynamic Antiplane Characteristics of an Elastic Wedge‐Shaped Quarter‐Space Containing a Circular Hole

Shen Liu, Jie Yang, Yue Liu and Qin Liu

Retracted: Use Python Data Analysis to Gain Insights from Airbnb Hosts

Advances in Mathematical Physics

Retracted: Research on Spectrum Feature Identification of Indoor Multimodal Communication Signal

Advances in Mathematical Physics

Retracted: The Statistical Analysis of Multidimensional Psychological Characteristics and User Feedback Willingness

Advances in Mathematical Physics

Retracted: Study on Announcement Effect of Stock Repurchase from the Perspective of Configuration Analysis

Advances in Mathematical Physics

Advances in Information Entropy

Bin Wang, Naixue Xiong and Fengming Xin

Retracted: A Cloud Computing‐Based Intelligent Forecasting Method for Cross‐Border E‐Commerce Logistics Costs

Advances in Mathematical Physics

Retracted: Asymptotic Behavior of Solution for Functional Evolution Equations with Stepanov Forcing Terms

Advances in Mathematical Physics

Analytical Solutions of the Fractional Complex Ginzburg‐Landau Model Using Generalized Exponential Rational Function Method with Two Different Nonlinearities

Ghazala Akram, Maasoomah Sadaf, M. Atta Ullah Khan and Hasan Hosseinzadeh

Collisional Solitons Described by Two‐Sided Beta Time Fractional Korteweg‐de Vries Equations in Fluid‐Filled Elastic Tubes

Sharmin Akter, M. D. Hossain, M. F. Uddin and M. G. Hafez

Output Regulation of Switched Stochastic Systems with Sampled‐Data Control

Xiaoxiao Dong and Hui Lan

Interaction Solutions of the (2+1)‐Dimensional Sawada‐Kotera Equation

Yong Meng

Double‐Periodic Soliton Solutions of the (2+1)‐Dimensional Ito Equation

Wen-Hui Zhu, Jian-Guo Liu, Mohammad Asif Arefin, M. Hafiz Uddin and Ya-Kui Wu

A Finite Difference Method for Solving Unsteady Fractional Oldroyd‐B Viscoelastic Flow Based on Caputo Derivative

Fang Wang and Yu Wang

On a Multistable Type of Free Boundary Problem with a Flux at the Boundary

Haitao Ren, Jingjing Cai and Li Xu

Existence and Nonexistence of Traveling Wave Solutions for a Reaction–Diffusion Preys–Predator System with Switching Effect

Hang Zhang, Yujuan Jiao and Jinmiao Yang

Well‐Posedness and Blow‐Up of Solutions for a Variable Exponent Nonlinear Petrovsky Equation

Nebi Yılmaz, Erhan Pişkin and Ercan Çelik

Phase Portraits and Traveling Wave Solutions of Fokas System in Monomode Optical Fibers

Chao Tang and Zhao Li

Spectral Element Method for Fractional Klein–Gordon Equations Using Interpolating Scaling Functions

Haifa Bin Jebreen

Use of Finite Element Method for Free Convection of Nanofluids between a Rectangular Enclosure and a Sinusoidal Cylinder Using Buongiorno’s Two‐Phase Model

Abeer Alhashash and Habibis Saleh

Position Vectors of the Natural Mate and Conjugate of a Space Curve

Azeb Alghanemi and Meraj Ali Khan

Time‐Dependent Magnetohydrodynamic (MHD) Flow of an Exothermic Arrhenius Fluid in a Vertical Channel with Convective Boundary Condition

M. M. Hamza, S. Abdulsalam and S. K. Ahmad

A Study on Regular Domination in Vague Graphs with Application

Xiaolong Shi, Maryam Akhoundi, A. A. Talebi and Masome Mojahedfar

Implicit Finite Difference Simulation of Hybrid Nanofluid along a Vertical Thin Cylinder with Sinusoidal Wall Heat Flux under the Effects of Magnetic Field

Mashiyat Khan, Amzad Hossain, Afroja Parvin and Md. Mamun Molla

Modelling and Investigation of the Dynamic Behavior of a Penny‐Shaped Interface Crack in Piezoelectric Bimaterials

Yani Zhang, Junlin Li, Di Liu and Xiufeng Xie

Effects of Soret and Dufour on Unsteady Magneto‐Convective Transport through a Vertical Perforated Sheet with Chemical Reaction

Md. Mosharrof Hossain, Md. Hasanuzzaman, A. Rahim Laskar and Ashish Barmon

Green’s Functions on Various Time Scales for the Time‐Fractional Reaction‐Diffusion Equation

Alexey Zhokh and Peter Strizhak

A Solution of the Complex Fuzzy Heat Equation in Terms of Complex Dirichlet Conditions Using a Modified Crank–Nicolson Method

Hamzeh Zureigat, Mohammad A. Tashtoush, Ali F. Al Jassar, Emad A. Az-Zo’bi and Mohammad W. Alomari

On Bernstein’s Problem of Complete Parabolic Hypersurfaces in Warped Products

Ning Zhang and Zhangsheng Zhu

Optical Solitons and Single Traveling Wave Solutions for the Fiber Bragg Gratings with Generalized Anticubic Nonlinearity

Dan Chen and Zhao Li

A Novel Collocation Method for Numerical Solution of Hypersingular Integral Equation with Singular Right‐Hand Function

M. R. Elahi, Y. Mahmoudi, A. Salimi Shamloo and M. Jahangiri Rad

Application of Engineering Science Model Based on Fuzzy Sets in Enterprise Financial Evaluation Index

Yue Wang

A New Fundamental Asymmetric Wave Equation and Its Application to Acoustic Wave Propagation

Z. E. Musielak

The Analytic Solutions of the Fractional‐Order Model for the Spatial Epidemiology of the COVID‐19 Infection

Benedict Barnes, Martin Anokye, Mohammed Muniru Iddrisu, Bismark Gawu and Emmanuel Afrifa

Stability and Finite‐Time Synchronization Analysis for Recurrent Neural Networks with Improved Integral‐Type Time‐Varying Delays

Meng Li and Gulijiamali Maimaitiaili

Mixed Lump‐Stripe Soliton Solutions to a New Extended Jimbo‐Miwa Equation

Yinghui He

Application of Müntz Orthogonal Functions on the Solution of the Fractional Bagley–Torvik Equation Using Collocation Method with Error Stimate

S. Akhlaghi, M. Tavassoli Kajani and M. Allame

Analysis of Magnetohydrodynamic Micropolar Nanofluid Flow due to Radially Stretchable Rotating Disk Employing Spectral Method

Ayele Tulu

Stability of Set Differential Equations in Fréchet Spaces

Junyan Bao, Wei Chen and Peiguang Wang

An Approximation Method for Variational Inequality with Uncertain Variables

Cunlin Li, Hongyu Zhang, Rui Yuan, Yee Hooi Min and Tzu-Chien Yin

Command Filter AILC for Finite Time Accurate Tracking of Aircraft Track Angle System Based on Fuzzy Logic

Chunli Zhang, Xu Tian, Yangjie Gao and Fucai Qian

An Efficient Technique for Algebraic System of Linear Equations Based on Neutrosophic Structured Element

Wenbo Xu, Qunli Xia, Hitesh Mohapatra and Sangay Chedup

On the Characterization of Antineutrosophic Subgroup

Sudipta Gayen, S. A. Edalatpanah, Sripati Jha and Ranjan Kumar

Some Conditions of Non‐Blow‐Up of Generalized Inviscid Surface Quasigeostrophic Equation

Linrui Li, Mingli Hong and Lin Zheng

The Separation Properties of Binary Topological Spaces

Xiaoli Qiang, Saber Omidi, P. Sathishmohan, K. Lavanya and K. Rajalakshmi

Fixed Point Results in Fuzzy Strong Controlled Metric Spaces with an Application to the Domain Words

Aftab Hussain, Umar Ishtiaq and Hamed Al Sulami

Quasilinear Hyperbolic Systems Applied to Describe the Magnetohydrodynamic Nanofluid Flow

Dayong Nie

Abundant Soliton Structures to the (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Dynamical Model

Kang-Jia Wang, Feng Shi and Guo-Dong Wang

Sharp Threshold of Global Existence and Mass Concentration for the Schrödinger–Hartree Equation with Anisotropic Harmonic Confinement

Min Gong and Hui Jian

Numerical Solutions of Duffing Van der Pol Equations on the Basis of Hybrid Functions

M. Mohammadi, A. R. Vahidi, T. Damercheli and S. Khezerloo

The Modulation Instability Analysis and Analytical Solutions of the Nonlinear Gross−Pitaevskii Model with Conformable Operator and Riemann Wave Equations via Recently Developed Scheme

Wei Gao and Haci Mehmet Baskonus

Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense

Qura Tul Ain, Muhammad Nadeem, Devendra Kumar and Mohd Asif Shah

Exact Solutions of the Generalized ZK and Gardner Equations by Extended Generalized (G′/G)‐Expansion Method

Sanjaya K. Mohanty, Apul N. Dev, Soubhagya Kumar Sahoo, Homan Emadifar and Geeta Arora

QMU Analysis of Flexoelectric Timoshenko Beam by Evidence Theory

Feng Zhang, Jiajia Zhang, Weiyue Wang, Ruijie Du, Cheng Han and Zijie Qiao

Effect of Classical and Quantum Superposition of Atomic States on Quantum Correlations

Chimdessa Gashu, Ebisa Mosisa and Chali Idosa

Simulating New CKO as a Model of Seismic Sea Waves via Unified Solver

Hanan A. Alkhidhr and Mahmoud A. E. Abdelrahman

Nonlinear Stability of the Bipolar Navier‐Stokes‐Poisson System with Boundary

Tiantian Yu and Yong Li

Some New Characterizations of Real Hypersurfaces with Isometric Reeb Flow in Complex Two‐Plane Grassmannians

Dehe Li, Bo Li and Lifen Zhang

Free Convection Heat Transfer in Composite Enclosures with Porous and Nanofluid Layers

Abeer Alhashash

Ion Acoustic Solitary Wave Solutions to mKdV‐ZK Model in Homogeneous Magnetized Plasma

Mst. Razia Pervin, Harun-Or Roshid, Pinakee Dey, Shewli Shamim Shanta and Sachin Kumar

Lattice Boltzmann Method for the Generalized Black‐Scholes Equation

Fangfang Wu, Duoduo Xu, Ming Tian and Yingying Wang

Exact Solution of (4 + 1)‐Dimensional Boiti–Leon–Manna–Pempinelli Equation

Qili Hao

Convolution Representation of Traveling Pulses in Reaction‐Diffusion Systems

Satoshi Kawaguchi

Research on Model Construction of Electric Energy Metering System Based on Intelligent Sensor Data

Hang Li, Luwei Bai, Jia Yu, Yongmei Mao and Zhenzhen Hui

Invariant Solutions and Conservation Laws of the Time‐Fractional Telegraph Equation

Ramin Najafi, Ercan Çelik and Neslihan Uyanık

Correlation Filtering Algorithm of Infrared Spectral Data for Dim Target Tracking

Wenjian Zheng, An Chang, Qi Wang, Jianing Shang and Mandi Cui

The Modified Exponential Function Method for Beta Time Fractional Biswas‐Arshed Equation

Yusuf Pandir, Tolga Akturk, Yusuf Gurefe and Hussain Juya

Computational Fluid Dynamics for Cavity Natural Heat Convection: Numerical Analysis and Optimization in Greenhouse Application

Yin Zhang, Menglong Zhang, Jianwu Xiong, Gang Mao and Yicong Qi