Numerical solutions for the time and space fractional nonlinear partial differential equations
type: Item
instance of: scholarly article
title: Numerical solutions for the time and space fractional nonlinear partial differential equations
zbMATH Open document ID: 1397.35334
DOI: 10.1155/2013/482419
author: K. A. Gepreel
author: Taher A. Nofal
author: Fawziah M. Alotaibi
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We implement relatively analytical techniques, the homotopy perturbation method, and variational iteration method to find the approximate solutions for time and space fractional Benjamin-Bona Mahony equation. The fractional derivatives are described in the Caputo sense. These methods are used in applied mathematics to obtain the analytic approximate solutions for the nonlinear Bejamin-Bona Mahoney (BBM) partial fractional differential equation. We compare between the approximate solutions obtained by these methods. Also, we present the figures to compare between the approximate solutions. Also, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations. We use the improved \((G'/G)\)-expansion function method to find exact solutions of nonlinear fractional BBM equation.
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 65M22
Mathematics Subject Classification ID: 35C05
zbMATH DE Number: 6950700
Wikidata QID: Q59006204
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/482419
OpenAlex ID: W1973830572
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description: scientific article; zbMATH DE number 6950700