Exp-Function Method for Solving Fractional Partial Differential Equations

We extend the Exp-function method to fractional partial differential equations in the sense of modified Riemann-Liouville derivative based on nonlinear fractional complex transformation. For illustrating the validity of this method, we apply it to the space-time fractional Fokas equation and the non...

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Detalles Bibliográficos
Autor principal: Zheng, Bin
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/PMC3681259/
https://www.ncbi.nlm.nih.gov/pubmed/23818823
http://dx.doi.org/10.1155/2013/465723
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author Zheng, Bin
author_facet Zheng, Bin
author_sort Zheng, Bin
collection PubMed
description We extend the Exp-function method to fractional partial differential equations in the sense of modified Riemann-Liouville derivative based on nonlinear fractional complex transformation. For illustrating the validity of this method, we apply it to the space-time fractional Fokas equation and the nonlinear fractional Sharma-Tasso-Olver (STO) equation. As a result, some new exact solutions for them are successfully established.
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spelling pubmed-36812592013-07-01 Exp-Function Method for Solving Fractional Partial Differential Equations Zheng, Bin ScientificWorldJournal Research Article We extend the Exp-function method to fractional partial differential equations in the sense of modified Riemann-Liouville derivative based on nonlinear fractional complex transformation. For illustrating the validity of this method, we apply it to the space-time fractional Fokas equation and the nonlinear fractional Sharma-Tasso-Olver (STO) equation. As a result, some new exact solutions for them are successfully established. Hindawi Publishing Corporation 2013-05-28 /pmc/articles/PMC3681259/ /pubmed/23818823 http://dx.doi.org/10.1155/2013/465723 Text en Copyright © 2013 Bin Zheng. 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
Zheng, Bin
Exp-Function Method for Solving Fractional Partial Differential Equations
title Exp-Function Method for Solving Fractional Partial Differential Equations
title_full Exp-Function Method for Solving Fractional Partial Differential Equations
title_fullStr Exp-Function Method for Solving Fractional Partial Differential Equations
title_full_unstemmed Exp-Function Method for Solving Fractional Partial Differential Equations
title_short Exp-Function Method for Solving Fractional Partial Differential Equations
title_sort exp-function method for solving fractional partial differential equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3681259/
https://www.ncbi.nlm.nih.gov/pubmed/23818823
http://dx.doi.org/10.1155/2013/465723
work_keys_str_mv AT zhengbin expfunctionmethodforsolvingfractionalpartialdifferentialequations

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