Advances in Mathematical Physics

2009 - 2026

Continued by Advances in Mathematical Physics.

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Volume 2026, month 4, 2026

Inverse Problem Analysis for the 2D Sixth-Order Boussinesq Equation Subject to Extra Conditions pp. 1-12

M. J. Huntul, Y. T. Mehraliyev and Mohammad Izadi

2-Local Derivations on the Twisted Heisenberg–Virasoro Algebra pp. 1-6

Yufang Zhao and Yongsheng Cheng

Multiphysics Finite Element Analysis of Diffusive–Bioconvective MHD Hybrid Nanofluid Flow Over an Exponentially Stretching Sheet pp. 1-15

Paul M. Matao and L. Joseph Sademaki

Predicting Tuberculosis Trends in India: A Comparative Study of Time Series Models pp. 1-11

Varadharajan R., Jaya Darsini V. S., Mohan Balakrishnan, Yong-Ki Ma and Sathishkumar M.

Dynamical Behavior and Chaotic Nature of M-Fractional Paraxial Wave Equation With Three Analytical Methods pp. 1-19

Md. Mamunur Roshid, Mahtab Uddin, Mohammad Safi Ullah, Golam Mostafa and Ashek Ahmed

Volume 2026, month 3, 2026

Numerical Investigation of Fractional Third-Order Differential Equation Using Quartic B-Spline Functions pp. 1-13

Syeda Alishba Batool, Muhammad Abbas, Madiha Shafiq, Y. S. Hamed and Asnake Birhanu

Mass Transport Analysis in an Annular Microchannel Driven by a Time-Periodic Oscillatory Electroosmotic Flow for a Maxwell Fluid Under High Zeta Potential pp. 1-19

Yuran Qiao, Xiaogang Chen, Jifeng Cui, Xiaonan Zang and Huaizhen Wang

Thermal Radiative Flow and Entropy Generation in MHD Williamson Hybrid Nanofluid (Cu+Ag)/H2O Over a Porous Stretching Sheet With Non-Fourier Heat Flux and Heat Source pp. 1-24

Tigabu Gubena and Wubshet Ibrahim

Volume 2026, month 2, 2026

Phase-Lag Integro-Partial Differential Equation: Local and Nonlocal Solutions pp. 1-16

Sameeha Ali Raad

Combining Symmetries and Helmholtz’s Conditions to Construct Lagrangians pp. 1-7

Merced Montesinos, Diego Gonzalez and Jorge Meza

Generalized Synchronization of Complex Neuron Networks in Driver-Response Configuration for Chaotic Processes pp. 1-9

Shko A. Tahir

Dynamical Optical Structure Solutions of the Time-Fractional Chen-Lee-Liu Equation pp. 1-14

Shah Muhammad, Abdul Saboor, Muhammad Shakeel and Hameed Gul Ahmadzai

Regularization by Global DGMRES Method for Ill-Posed Matrix Equation AXB=G pp. 1-10

Vahid Hosseinabadi and Hossein Sadeghi Goughery

Constructing Traveling Wave Solutions via a Generalized Expansion Method for Nonlinear Evolution Equations Possessing Variable Coefficients pp. 1-12

Abdul Saboor, Xianhua Song, Muhammad Shakeel, Muhammad Qamar Fareed and Baboucarr Ceesay

Volume 2026, month 1, 2026

Dual Proximal Groups Concisely Representing Complex Hosoya Triangles pp. 1-19

Kübra Gül, James F. Peters and Ömür Deveci

Cognitive Familiarity-Driven Rumor Diffusion: A Dynamic Compartmental Model With Stratified Susceptibility pp. 1-19

Weijun Yan and Yuhan Hu

The Novel Numerical Solutions for Time-Fractional Fishers Equation pp. 1-14

Aslı Alkan, Hasan Bulut and Ercan Çelik

Volume 2025, month 12, 2025

A Physical Causality—Information Manifold With a Pythagorean Metric in Special Relativity pp. 1-8

Roland Riek

Dynamics Analyses and Parameter Estimation of an Improved Fractional-Order SEAIRQ COVID-19 Dynamic Model Based on Two Types of Fractional Derivative Operators pp. 1-22

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

Construction of the Shifted Modified Gegenbauer Polynomials and Approximation pp. 1-11

Abdelhamid Rehouma and Hossein Jafari

Extending General Covariance: A Unified Framework for Electromagnetic Interactions and Geometric Unification pp. 1-11

Xiulin Huang and Yan Xu

Volume 2025, month 11, 2025

On the Study of Nonlinear Murray Equation in Non-Newtonian Fluids: Fractional Solitary Wave Structures, Chaos, and Sensitivity Demonstration pp. 1-18

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

Casson Fluid Flow Through Porous Media on an Exponentially Stretched Surface in the Presence of a Transverse Magnetic Field and Chemical Reaction pp. 1-12

Issah Abubakari and Ibrahim Yakubu Seini

Exploring Microbial Dynamics and Heat Transmission in a Nonlinear Radiative Maxwell Nanomaterial With Sensitivity Analysis pp. 1-22

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

Abundant Families of Explicit Solitary Wave Structure for the Time-Fractional Nonlinear Electrical Transmission Line Model With Its Modulation Instability pp. 1-16

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

Stationary-Angle Conditions and Bertrand Offsets in Timelike-Ruled Surfaces pp. 1-13

Areej A. Almoneef and Rashad A. Abdel-Baky

Ground State Solutions for General Choquard Equation With the Riesz Fractional Laplacian pp. 1-13

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

General Relativity Sans Differential Geometry: Representing Tensor Elements by Exponential Terms pp. 1-3

Donald H. Eckhardt and José Luis Garrido Pestaña

Volume 2025, month 10, 2025

Entropy Generation Analysis in MHD Nanofluid Flow Using the Brinkman–Forchheimer Model in a Quadrantal Porous Enclosure pp. 1-20

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

Wave Propagation in Fractional Space: A Riesz Derivative Approach pp. 1-5

Sami I. Muslih

On the Question of the Solution of the Wave Equation pp. 1-14

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

Volume 2025, month 9, 2025

Derivation of the Lorentz Transformations for Three-Dimensional Relative Motion Between Inertial Frames of Reference pp. 1-25

Chandra Bahadur Khadka

An Algorithm for Solving Phase-Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel pp. 1-19

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

Volume 2025, month 8, 2025

Extensions of Simpson’s Inequality via Nonnegative Weight Functions and Fractional Operators pp. 1-12

Hasan Öğünmez and Mehmet Zeki Sarikaya

Exploring Nonlinear Dynamics and Solitary Waves in the Fractional Klein–Gordon Model pp. 1-18

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

Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions pp. 1-20

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

Volume 2025, month 7, 2025

Modeling to Engineering and Failure Times Data: Using the Marshall–Olkin Extended Exponential Distribution pp. 1-16

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

Bifurcation, Chaotic, Sensitivity Analysis, and Optical Soliton Profiles for the Spin Hirota–Maxwell–Bloch Equation in an Erbium-Doped Fiber pp. 1-20

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

Volume 2025, month 6, 2025

A Newmark Integral Method in Nonhomogeneous Materials With Parallel Cracks Based on Hyperbolic Heat Conduction pp. 1-16

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

Energy-Minimization Models for Hybrid Carbon Nanotori Production pp. 1-7

Nawa A. Alshammari

MHD Free Convective Transport Through an Inclined Porous Sheet With Thermal Radiation Effect: An Unsteady Analysis pp. 1-12

Mahamudul Hassan Milon, Md. Hasanuzzaman and Md. Asaduzzaman

Volume 2025, month 5, 2025

Optical Soliton Structure Solutions, Sensitivity, and Modulation Stability Analysis in the Chiral Nonlinear Schrödinger Equation With Bohm Potential pp. 1-19

Ishrat Bibi, Shah Muhammad, Muhammad Shakeel and Baboucarr Ceesay

A Simple and Effective Second-Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo-Tempered Fractional Derivative pp. 1-14

Dechao Gao, Zeshan Qiu, Lizan Wang and Jianxin Li

Volume 2025, month 4, 2025

Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink pp. 1-22

Hundasa Chala Nagari, Mitiku Daba Firdi and Ebba Hindebu Rikitu

Different Dimension Synchronization of Bidirectionally Coupled Chaotic Systems With Unknown Time-Varying Parameter Interference pp. 1-15

Chunli Zhang, Yangjie Gao and Fucai Qian

A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation pp. 1-15

Nuru Ahmed Endrie and Gemechis File Duressa

Volume 2025, month 3, 2025

Eigenvalue Localization Inequalities for Complex Matrices With Order n≥3 pp. 1-4

Rong Ma and Feng Zhang

Volume 2025, month 2, 2025

Triple Diffusive Convection in a Fluid Layer Under an A.C Electric Field pp. 1-14

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

Volume 2025, month 1, 2025

Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg-de Viries Equation in Fluid Dynamics pp. 1-6

Ercan Çelik

Leveraging Attention Mechanisms in Neural Networks for High-Order Accuracy in Particle-in-Cell Simulations pp. 1-12

Jian-Nan Chen and Jun-Jie Zhang