Advances in Mathematical Physics

2009 - 2023

Continuation of Advances in Mathematical Physics.

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Volume 2013, issue 1, 2013

On Bernstein‐Type Theorems in Semi‐Riemannian Warped Products

Wenjie Wang and Ximin Liu

Delta Shock Waves for a Linearly Degenerate Hyperbolic System of Conservation Laws of Keyfitz‐Kranzer Type

Hongjun Cheng

Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices

Mohsen Alipour and Dumitru Baleanu

Experimental Characterization of Ionic Polymer Metal Composite as a Novel Fractional Order Element

Riccardo Caponetto, Salvatore Graziani, Fulvio L. Pappalardo and Francesca Sapuppo

Extraction of Affine Invariant Features Using Fractal

Jianwei Yang, Guosheng Cheng and Ming Li

Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems

P. G. Dlamini, S. S. Motsa and M. Khumalo

Representations of 3‐Dimensional Simple Multiplicative Hom‐Lie Algebras

Xiuxian Li

A Mathematical Characterization for Patterns of a Keller‐Segel Model with a Cubic Source Term

Shengmao Fu and Ji Liu

Pseudo‐State Sliding Mode Control of Fractional SISO Nonlinear Systems

Bao Shi, Jian Yuan and Chao Dong

Can Power Laws Help Us Understand Gene and Proteome Information?

J. A. Tenreiro Machado, António C. Costa and Maria Dulce Quelhas

A Relativistic Algorithm with Isotropic Coordinates

S. A. Ngubelanga and S. D. Maharaj

Semigroup Method on a MX/G/1 Queueing Model

Alim Mijit

LRS Bianchi Type II Massive String Cosmological Models with Magnetic Field in Lyra′s Geometry

Raj Bali, Mahesh Kumar Yadav and Lokesh Kumar Gupta

A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations

Bülent Kiliç and Hasan Bulut

Distance‐Based Routing Strategy for Traffic Transport in Spatial Networks

Wei Huang, Xiang Pan, Xi Yang and Jianhua Zhang

Oscillation of Two‐Dimensional Neutral Delay Dynamic Systems

Xinli Zhang and Shanliang Zhu

The Periodic Solution of Fractional Oscillation Equation with Periodic Input

Jun-Sheng Duan

Fault Tolerant Control for Interval Fractional‐Order Systems with Sensor Failures

Xiaona Song and Hao Shen

The 𝒮‐Transform of Sub‐fBm and an Application to a Class of Linear Subfractional BSDEs

Zhi Wang and Litan Yan

Geometric Distribution Weight Information Modeled Using Radial Basis Function with Fractional Order for Linear Discriminant Analysis Method

Wen-Sheng Chen, Chu Zhang and Shengyong Chen

On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval

Nemat Nyamoradi, Dumitru Baleanu and Ravi P. Agarwal

Mild Solutions of Neutral Semilinear Stochastic Functional Dynamic Systems with Local Non‐Lipschitz Coefficients

Feng Jiang

Interval Shannon Wavelet Collocation Method for Fractional Fokker‐Planck Equation

Shu-Li Mei and Zhu De-Hai

Spectral‐Collocation Methods for Fractional Pantograph Delay‐Integrodifferential Equations

Yin Yang and Yunqing Huang

Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov‐Kuznetsov Equation

Yun Wu and Zhengrong Liu

On the Cauchy Problem for the Two‐Component Novikov Equation

Yongsheng Mi, Chunlai Mu and Weian Tao

Solving Abel’s Type Integral Equation with Mikusinski’s Operator of Fractional Order

Ming Li and Wei Zhao

Study on Inertia as a Gravity Induced Property of Mass, in an Infinite Hubble Expanding Universe

Jeroen van Engelshoven

A Coupling Method of New EMFE and FE for Fourth‐Order Partial Differential Equation of Parabolic Type

Yang Liu, Hong Li, Zhichao Fang, Siriguleng He and Jinfeng Wang

Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor‐Type Cylindrical Coordinates

Ya-Juan Hao, H. M. Srivastava, Hossein Jafari and Xiao-Jun Yang

LMI‐Based Stability Criteria for Discrete‐Time Neural Networks with Multiple Delays

Hui Xu and Ranchao Wu

Advanced Topics in Fractional Dynamics

Dumitru Baleanu, H. M. Srivastava, Varsha Daftardar-Gejji, Changpin Li and J. A. Tenreiro Machado

An Enhanced Fractional Order Model of Ionic Polymer‐Metal Composites Actuator

R. Caponetto, S. Graziani, F. Sapuppo and V. Tomasello

Optimal Control of a Viscous Shallow Water Equation

Wenbin Zhang and Jiangbo Zhou

The Maxwell‐Boltzmann‐Euler System with a Massive Scalar Field in All Bianchi Spacetimes

Raoul Domingo Ayissi, Norbert Noutchegueme and Hugues Paulin Mbeutcha Tchagna

The General Traveling Wave Solutions of the Fisher Equation with Degree Three

Wenjun Yuan, Qiuhui Chen, Jianming Qi and Yezhou Li

Nonlinear Dynamics and Chaos in Fractional‐Order Hopfield Neural Networks with Delay

Xia Huang, Zhen Wang and Yuxia Li

Interval Wavelet Numerical Method on Fokker‐Planck Equations for Nonlinear Random System

Li-wei Liu

A Quantum Mermin‐Wagner Theorem for a Generalized Hubbard Model

Mark Kelbert and Yurii Suhov

Analysis of Fractal Wave Equations by Local Fractional Fourier Series Method

Yong-Ju Yang, Dumitru Baleanu and Xiao-Jun Yang

Neutron Star Interiors and Topology Change

Peter K. F. Kuhfittig

Stability Analysis for Neutral Delay Markovian Jump Systems with Nonlinear Perturbations and Partially Unknown Transition Rates

Xinghua Liu and Hongsheng Xi

Some General New Einstein Walker Manifolds

Mehdi Nadjafikhah and Mehdi Jafari

Adaptive Sliding Mode Control of a Novel Class of Fractional Chaotic Systems

Jian Yuan, Bao Shi and Wenqiang Ji

Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations

M. Nadjafikhah and A. Mokhtary

The Compensation Method of Vehicle Magnetic Interference for the Magnetic Gradiometer

Junwei Lv, Zhentao Yu, Jingli Huang and Jing Zhou

Nonlinear Super Integrable Couplings of Super Broer‐Kaup‐Kupershmidt Hierarchy and Its Super Hamiltonian Structures

Sixing Tao and Tiecheng Xia

A Time‐Splitting and Sine Spectral Method for Dynamics of Dipolar Bose‐Einstein Condensate

Si-Qi Li, Xiang-Gui Li and Dong-Ying Hua

External Fractional‐Order Gradient Vector Perona‐Malik Diffusion for Sinogram Restoration of Low‐Dosed X‐Ray Computed Tomography

Shaoxiang Hu

A Fast Region‐Based Segmentation Model with Gaussian Kernel of Fractional Order

Bo Chen, Qing-Hua Zou, Wen-Sheng Chen and Yan Li

Complexity and the Fractional Calculus

Pensri Pramukkul, Adam Svenkeson, Paolo Grigolini, Mauro Bologna and Bruce West

A Point Source Identification Problem for a Time Fractional Diffusion Equation

Xiao-Mei Yang and Zhi-Liang Deng

Chebyshev Wavelets Method for Solution of Nonlinear Fractional Integrodifferential Equations in a Large Interval

M. H. Heydari, M. R. Hooshmandasl, F. M. Maalek Ghaini and Ming Li

A Fractional Anomalous Diffusion Model and Numerical Simulation for Sodium Ion Transport in the Intestinal Wall

Bo Yu and Xiaoyun Jiang

On the Inverse Problem of the Fractional Heat‐Like Partial Differential Equations: Determination of the Source Function

Gülcan Özkum, Ali Demir, Sertaç Erman, Esra Korkmaz and Berrak Özgür

The Extended Symmetry Lie Algebra and the Asymptotic Expansion of the Transversal Correlation Function for the Isotropic Turbulence

V. N. Grebenev, A. N. Grishkov and M. Oberlack

An Effective Interval‐Valued Intuitionistic Fuzzy Entropy to Evaluate Entrepreneurship Orientation of Online P2P Lending Platforms

Xiaohong Chen, Li Yang, Pei Wang and Wei Yue

Numerical Fractional‐Calculus Model for Two‐Phase Flow in Fractured Media

Wenwen Zhong, Changpin Li and Jisheng Kou

Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space

Mabrouk Bragdi, Amar Debbouche and Dumitru Baleanu

Conservative Linear Difference Scheme for Rosenau‐KdV Equation

Jinsong Hu, Youcai Xu and Bing Hu

An Alpha‐Beta Phase Diagram Representation of the Zeros and Properties of the Mittag‐Leffler Function

John W. Hanneken, B. N. Narahari Achar and David M. Vaught

A Matrix Lie Superalgebra and Its Applications

Jingwei Han, Jing Yu and Jingsong He

Anisotropic Bianchi Type‐III Bulk Viscous Fluid Universe in Lyra Geometry

Priyanka Kumari, M. K. Singh and Shri Ram

Low‐Dosed X‐Ray Computed Tomography Imaging by Regularized Fully Spatial Fractional‐Order Perona‐Malik Diffusion

Zhiwu Liao

Global Existence and Asymptotic Behavior of Solutions to the Generalized Damped Boussinesq Equation

Yinxia Wang and Hengjun Zhao

On New High Order Quasilinearization Approaches to the Nonlinear Model of Catalytic Reaction in a Flat Particle

S. S. Motsa, O. D. Makinde and S. Shateyi

Power Spectrum of Generalized Fractional Gaussian Noise

Ming Li

New Characterizations of Riesz‐Type Frames and Stability of Alternate Duals of Continuous Frames

Zhong-Qi Xiang

Maximum Norm Error Estimates of ADI Methods for a Two‐Dimensional Fractional Subdiffusion Equation

Yuan-Ming Wang

Approximation Solutions for Local Fractional Schrödinger Equation in the One‐Dimensional Cantorian System

Yang Zhao, Cheng De-Fu and Xiao-Jun Yang

Time Fractional Schrodinger Equation Revisited

B. N. Narahari Achar, Bradley T. Yale and John W. Hanneken

Recursion Operator and Local and Nonlocal Symmetries of a New Modified KdV Equation

Qian Suping and Li Xin

Wide Effectiveness of a Sine Basis for Quantum‐Mechanical Problems in d Dimensions

Richard L. Hall and Alexandra Lemus Rodríguez

Application of the Asymptotic Taylor Expansion Method to Bistable Potentials

Okan Ozer, Halide Koklu and Serap Resitoglu

Vibration Control of Fractionally‐Damped Beam Subjected to a Moving Vehicle and Attached to Fractionally‐Damped Multiabsorbers

Hashem S. Alkhaldi, Ibrahim M. Abu-Alshaikh and Anas N. Al-Rabadi

On a Nonsymmetric Keyfitz‐Kranzer System of Conservation Laws with Generalized and Modified Chaplygin Gas Pressure Law

Hongjun Cheng and Hanchun Yang

The Proposed Modified Liu System with Fractional Order

Alireza K. Golmankhaneh, Roohiyeh Arefi and Dumitru Baleanu

An Equilibrium Model of Interbank Networks Based on Variational Inequalities

Shouwei Li and Jianmin He

A Weighted Average Finite Difference Method for the Fractional Convection‐Diffusion Equation

Lijuan Su and Pei Cheng