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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2014
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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. |
format | Online Article Text |
id | pubmed-3967780 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
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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