Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations

Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations

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In this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM). The FHANTM can easily be applied to many problems and...

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Main Authors: D. Ziane, M. Hamdi Cherif
Format: Article
Language:English
Published: Etamaths Publishing 2017-05-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1134
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spelling doaj-845e5f416125434aa127a8c358bf52532021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392017-05-011417787242Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential EquationsD. Ziane0M. Hamdi Cherif1Laboratory of mathematics and its applications (LAMAP) University of Oran1 Ahmed Ben Bella, Oran, 31000, AlgeriaLaboratory of mathematics and its applications (LAMAP) University of Oran1 Ahmed Ben Bella, Oran, 31000, AlgeriaIn this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM). The FHANTM can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. The results show that the FHANTM is an appropriate method for solving nonlinear fractional partial differentia equation.http://etamaths.com/index.php/ijaa/article/view/1134
collection DOAJ
language English
format Article
sources DOAJ
author D. Ziane
M. Hamdi Cherif
spellingShingle D. Ziane
M. Hamdi Cherif
Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
International Journal of Analysis and Applications
author_facet D. Ziane
M. Hamdi Cherif
author_sort D. Ziane
title Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
title_short Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
title_full Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
title_fullStr Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
title_full_unstemmed Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
title_sort modified homotopy analysis method for nonlinear fractional partial differential equations
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2017-05-01
description In this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM). The FHANTM can easily be applied to many problems and is capable of reducing the size of computational work. The fractional derivative is described in the Caputo sense. The results show that the FHANTM is an appropriate method for solving nonlinear fractional partial differentia equation.
url http://etamaths.com/index.php/ijaa/article/view/1134
work_keys_str_mv AT dziane modifiedhomotopyanalysismethodfornonlinearfractionalpartialdifferentialequations
AT mhamdicherif modifiedhomotopyanalysismethodfornonlinearfractionalpartialdifferentialequations
_version_ 1721193498922713088

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