Variable separation method for a nonlinear time fractional partial differential equation with forcing term
type: Item
instance of: scholarly article
title: Variable separation method for a nonlinear time fractional partial differential equation with forcing term
author: Sheng Zhang
author: Siyu Hong
published in: Journal of Computational and Applied Mathematics
publication date: 2018-05-09T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6867160
zbMATH Keywords: variable separation method
zbMATH Keywords: time fractional PDE
zbMATH Keywords: Airy function solution
zbMATH Keywords: hyperbolic function solution
zbMATH Keywords: trigonometric function solution
zbMATH Keywords: rational solution
MaRDI profile type: Publication
full work available at URL: j.cam.2017.09.045
OpenAlex ID: W2767586722
Wikidata QID: Q115359811
cites work: Numerical solution of fractional advection-diffusion equation with a nonlinear source term
cites work: An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives
cites work: Local fractional similarity solution for the diffusion equation defined on Cantor sets
cites work: On the time-fractional Navier-Stokes equations
cites work: Weak solutions of the time-fractional Navier-Stokes equations and optimal control
cites work: On exact traveling-wave solutions for local fractional Korteweg-de Vries equation
cites work: Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations
cites work: Fractional optical solitons
cites work: Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
cites work: Lattice fractional diffusion equation in terms of a Riesz-Caputo difference
cites work: The fundamental solution of the space-time fractional advection-dispersion equation
cites work: Adomian's decomposition method for solving an intermediate fractional advection-dispersion equation
cites work: Analytical modelling of fractional advection-dispersion equation defined in a bounded space domain
cites work: Variational iteration method -- some recent results and new interpretations
cites work: Multi-soliton solutions of the forced variable-coefficient extended Korteweg-de Vries equation arisen in fluid dynamics of internal solitary waves
cites work: Variable separation method for nonlinear time fractional biological population model
cites work: Complexiton solutions to the Korteweg-de Vries equation
cites work: Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
cites work: Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
cites work: Partial differential equations possessing Frobenius integrable decompositions
cites work: Numerical soliton solution of the Kaup‐Kupershmidt equation
cites work: Exp‐function method for solitary and periodic solutions of Fitzhugh‐Nagumo equation
cites work: A meshless numerical solution of the family of generalized fifth‐order Korteweg‐de Vries equations
cites work: Variational iteration method for re-formulated partial differential equations
cites work: Exp-function method for traveling wave solutions of nonlinear evolution equations
cites work: Some relatively new techniques for nonlinear problems
cites work: Exp-function method for generalized traveling solutions of master partial differential equation
cites work: Solving nonlinear fractional partial differential equations using the homotopy analysis method
DOI: 10.1016/J.CAM.2017.09.045
description: scientific article; zbMATH DE number 6867160