Davey-Stewartson Equation with Fractional Coordinate Derivatives

We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed...

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Detalles Bibliográficos
Autores principales: Jafari, H., Sayevand, K., Khan, Yasir, Nazari, M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3858879/
https://www.ncbi.nlm.nih.gov/pubmed/24376389
http://dx.doi.org/10.1155/2013/941645
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author Jafari, H.
Sayevand, K.
Khan, Yasir
Nazari, M.
author_facet Jafari, H.
Sayevand, K.
Khan, Yasir
Nazari, M.
author_sort Jafari, H.
collection PubMed
description We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed approach is investigated. The effects of fractional derivatives for the systems under consideration are discussed. Furthermore, comparisons indicate that there is a very good agreement between the solutions of homotopy analysis method and the exact solutions in terms of accuracy.
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spelling pubmed-38588792013-12-29 Davey-Stewartson Equation with Fractional Coordinate Derivatives Jafari, H. Sayevand, K. Khan, Yasir Nazari, M. ScientificWorldJournal Research Article We have used the homotopy analysis method (HAM) to obtain solution of Davey-Stewartson equations of fractional order. The fractional derivative is described in the Caputo sense. The results obtained by this method have been compared with the exact solutions. Stability and convergence of the proposed approach is investigated. The effects of fractional derivatives for the systems under consideration are discussed. Furthermore, comparisons indicate that there is a very good agreement between the solutions of homotopy analysis method and the exact solutions in terms of accuracy. Hindawi Publishing Corporation 2013-11-25 /pmc/articles/PMC3858879/ /pubmed/24376389 http://dx.doi.org/10.1155/2013/941645 Text en Copyright © 2013 H. Jafari et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Jafari, H.
Sayevand, K.
Khan, Yasir
Nazari, M.
Davey-Stewartson Equation with Fractional Coordinate Derivatives
title Davey-Stewartson Equation with Fractional Coordinate Derivatives
title_full Davey-Stewartson Equation with Fractional Coordinate Derivatives
title_fullStr Davey-Stewartson Equation with Fractional Coordinate Derivatives
title_full_unstemmed Davey-Stewartson Equation with Fractional Coordinate Derivatives
title_short Davey-Stewartson Equation with Fractional Coordinate Derivatives
title_sort davey-stewartson equation with fractional coordinate derivatives
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3858879/
https://www.ncbi.nlm.nih.gov/pubmed/24376389
http://dx.doi.org/10.1155/2013/941645
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