Modified Homotopy Perturbation Method for Solving Fractional Differential Equations

Modified Homotopy Perturbation Method for Solving Fractional Differential Equations

The modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. The fractional derivatives are taken in the Caputo sense. This work will present a numerical comparison between...

Full description

Bibliographic Details
Main Author: A. A. Hemeda
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/594245
id doaj-f3b4c4da0a3a443381211586975b7c15
record_format Article
spelling doaj-f3b4c4da0a3a443381211586975b7c152020-11-24T20:58:47ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/594245594245Modified Homotopy Perturbation Method for Solving Fractional Differential EquationsA. A. Hemeda0Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, EgyptThe modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. The fractional derivatives are taken in the Caputo sense. This work will present a numerical comparison between the considered method and some other methods through solving various fractional differential equations in applied fields. The obtained results reveal that this method is very effective and simple, accelerates the rapid convergence of the series solution, and reduces the size of work to only one iteration.http://dx.doi.org/10.1155/2014/594245
collection DOAJ
language English
format Article
sources DOAJ
author A. A. Hemeda
spellingShingle A. A. Hemeda
Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
Journal of Applied Mathematics
author_facet A. A. Hemeda
author_sort A. A. Hemeda
title Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
title_short Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
title_full Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
title_fullStr Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
title_full_unstemmed Modified Homotopy Perturbation Method for Solving Fractional Differential Equations
title_sort modified homotopy perturbation method for solving fractional differential equations
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description The modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. The fractional derivatives are taken in the Caputo sense. This work will present a numerical comparison between the considered method and some other methods through solving various fractional differential equations in applied fields. The obtained results reveal that this method is very effective and simple, accelerates the rapid convergence of the series solution, and reduces the size of work to only one iteration.
url http://dx.doi.org/10.1155/2014/594245
work_keys_str_mv AT aahemeda modifiedhomotopyperturbationmethodforsolvingfractionaldifferentialequations
_version_ 1716784549952749568

Similar Items