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A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations

We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. The Exp-function method is extended to solve fractional partial differential equations in the sense of the modified Riemann-Liouville derivative...

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Detalles Bibliográficos
Autores principales: Güner, Özkan, Cevikel, Adem C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3967780/
https://www.ncbi.nlm.nih.gov/pubmed/24737972
http://dx.doi.org/10.1155/2014/489495
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author Güner, Özkan
Cevikel, Adem C.
author_facet Güner, Özkan
Cevikel, Adem C.
author_sort Güner, Özkan
collection PubMed
description We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. The Exp-function method is extended to solve fractional partial differential equations in the sense of the modified Riemann-Liouville derivative. We apply the Exp-function method to the time fractional Sharma-Tasso-Olver equation, the space fractional Burgers equation, and the time fractional fmKdV equation. As a result, we obtain some new exact solutions.
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spelling pubmed-39677802014-04-15 A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations Güner, Özkan Cevikel, Adem C. ScientificWorldJournal Research Article We use the fractional transformation to convert the nonlinear partial fractional differential equations with the nonlinear ordinary differential equations. The Exp-function method is extended to solve fractional partial differential equations in the sense of the modified Riemann-Liouville derivative. We apply the Exp-function method to the time fractional Sharma-Tasso-Olver equation, the space fractional Burgers equation, and the time fractional fmKdV equation. As a result, we obtain some new exact solutions. Hindawi Publishing Corporation 2014-03-10 /pmc/articles/PMC3967780/ /pubmed/24737972 http://dx.doi.org/10.1155/2014/489495 Text en Copyright © 2014 Ö. Güner and A. C. Cevikel. 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
Güner, Özkan
Cevikel, Adem C.
A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
title A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
title_full A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
title_fullStr A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
title_full_unstemmed A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
title_short A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations
title_sort procedure to construct exact solutions of nonlinear fractional differential equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3967780/
https://www.ncbi.nlm.nih.gov/pubmed/24737972
http://dx.doi.org/10.1155/2014/489495
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