Chen, Wenping Lü, Shujuan Chen, Hu Jiang, Lihua
Published in
Advances in Difference Equations
In this paper, we solve the variable-coefficient fractional diffusion-wave equation in a bounded domain by the Legendre spectral method. The time fractional derivative is in the Caputo sense of order γ∈(1,2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepack...
Su, Xing Wang, Gangwei Wang, Yue
Published in
Advances in Difference Equations
In this paper, we study the IBVP for the 2D Boussinesq equations with fractional dissipation in the subcritical case, and prove the persistence of global well-posedness of strong solutions. Moreover, we also prove the long time decay of the solutions, and investigate the existence of the solutions in Sobolev spaces W2,p(R2)×W1,p(R2)\documentclass[1...
Sawangtong, Wannika Sawangtong, Panumart
Published in
Advances in Difference Equations
This article deals with the novel method for finding solutions for the initial-boundary value problems (IBVPs), which is called the Sawangtong’s Green function homotopy perturbation method, shortly called SGHPM. The SGHPM is a method which combines the homotopy perturbation method with Green’s function method. The convergence analysis for the SGHPM...
Xu, Ling Huang, Jianhua Ma, Qiaozhen
Published in
Advances in Difference Equations
This paper is devoted to the dynamical behavior of stochastic coupled suspension bridge equations of Kirchhoff type. For the deterministic cases, there are many classical results such as existence and uniqueness of a solution and long-term behavior of solutions. To the best of our knowledge, the existence of random attractors for the stochastic cou...
Yang, Xiaozhong Dang, Xu
Published in
Advances in Difference Equations
The fractional reaction–diffusion equation has profound physical and engineering background, and its rapid solution research is of important scientific significance and engineering application value. In this paper, we propose a parallel computing method of mixed difference scheme for time fractional reaction–diffusion equation and construct a class...
He, Ying Bi, Bo
Published in
Advances in Difference Equations
This paper is concerned with an integral boundary value problem of fractional differential equations with p-Laplacian operator. Sufficient conditions ensuring the existence of extremal solutions for the given problem are obtained. Our results are based on the method of upper and lower solutions and monotone iterative technique.
Kumar, Sunil Kumar, Amit Momani, Shaher Aldhaifallah, Mujahed Nisar, Kottakkaran Sooppy
Published in
Advances in Difference Equations
The main aim of this paper is to present a comparative study of modified analytical technique based on auxiliary parameters and residual power series method (RPSM) for Newell–Whitehead–Segel (NWS) equations of arbitrary order. The NWS equation is well defined and a famous nonlinear physical model, which is characterized by the presence of the strip...
Zhang, Zizhen Kumari, Sangeeta Upadhyay, Ranjit Kumar
Published in
Advances in Difference Equations
We propose an e-epidemic time-delay Susceptible-Latent-Breaking out-Susceptible (SLBS\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$SLBS$\end{document}) model to study ...
Khennaoui, Amina-Aicha Ouannas, Adel Bendoukha, Samir Grassi, Giuseppe Wang, Xiong Pham, Viet-Thanh Alsaadi, Fawaz E.
Published in
Advances in Difference Equations
In this paper, we propose three fractional chaotic maps based on the well known 3D Stefanski, Rössler, and Wang maps. The dynamics of the proposed fractional maps are investigated experimentally by means of phase portraits, bifurcation diagrams, and Lyapunov exponents. In addition, three control laws are introduced for these fractional maps and the...
Wang, Bingxian Yang, Bin Xu, Mei
Published in
Advances in Difference Equations
Consider the simultaneous identification of the initial field and spatial heat source for heat conduction process from extra measurements with the two additional measurement data at different times. The uniqueness and conditional stability for this inverse problem are established by using the properties of a parabolic equation and the representatio...
