Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
type: Item
instance of: scholarly article
title: Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
zbMATH Open document ID: 1221.35439
author: D. Kharzeev
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2011-09-30T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35G15
zbMATH DE Number: 5952830
zbMATH Keywords: system of fractional partial differential equations
zbMATH Keywords: homotopy analysis method (HAM)
zbMATH Keywords: Caputo fractional derivative
zbMATH Keywords: Mittag
zbMATH Keywords: Leffler function
describes a project that uses: BVPh
MaRDI profile type: Publication
full work available at URL: j.cnsns.2008.06.019
OpenAlex ID: W1988892282
cites work: Approximate analytical solutions of systems of PDEs by homotopy analysis method
cites work: Applications of fractional calculus in physics
cites work: Solving a system of nonlinear fractional differential equations using Adomian decomposition
cites work: Solving fractional diffusion and wave equations by modified homotopy perturbation method
cites work: Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
cites work: Homotopy analysis method: A new analytical technique for nonlinear problems
cites work: A note on the fractional-order Chen system
cites work: An operational method for solving fractional differential equations with the Caputo derivatives
cites work: Fractals and fractional calculus in continuum mechanics
cites work: On the Cauchy problem for some fractional order partial differential equations
cites work: Q3864730
cites work: Q4233638
cites work: Q3141895
cites work: Analysis of nonlinear fractional partial differential equations with the homotopy analysis method
cites work: Some applications of fractional equations.
cites work: The variational iteration method for solving linear and nonlinear systems of PDEs
DOI: 10.1016/J.CNSNS.2008.06.019
description: scientific article; zbMATH DE number 5952830