Generalized Kudryashov Method for Time-Fractional Differential Equations
In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation. These time-fractional equations can be turned into another nonlinear ordina...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/901540 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553227650859008 |
|---|---|
| author | Seyma Tuluce Demiray Yusuf Pandir Hasan Bulut |
| author_facet | Seyma Tuluce Demiray Yusuf Pandir Hasan Bulut |
| author_sort | Seyma Tuluce Demiray |
| collection | DOAJ |
| description | In this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation. These time-fractional equations can be turned into another nonlinear ordinary differantial equation by travelling wave transformation. Then, GKM has been implemented to attain exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation. Also, some new hyperbolic function solutions have been obtained by using this method. It can be said that this method is a generalized form of the classical Kudryashov method. |
| format | Article |
| id | doaj-art-e3d668a9da584c1aa8c74dec4137a293 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e3d668a9da584c1aa8c74dec4137a2932025-02-03T05:54:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/901540901540Generalized Kudryashov Method for Time-Fractional Differential EquationsSeyma Tuluce Demiray0Yusuf Pandir1Hasan Bulut2Department of Mathematics, Firat University, 23119 Elazig, TurkeyDepartment of Mathematics, Bozok University, 66100 Yozgat, TurkeyDepartment of Mathematics, Firat University, 23119 Elazig, TurkeyIn this study, the generalized Kudryashov method (GKM) is handled to find exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation. These time-fractional equations can be turned into another nonlinear ordinary differantial equation by travelling wave transformation. Then, GKM has been implemented to attain exact solutions of time-fractional Burgers equation, time-fractional Cahn-Hilliard equation, and time-fractional generalized third-order KdV equation. Also, some new hyperbolic function solutions have been obtained by using this method. It can be said that this method is a generalized form of the classical Kudryashov method.http://dx.doi.org/10.1155/2014/901540 |
| spellingShingle | Seyma Tuluce Demiray Yusuf Pandir Hasan Bulut Generalized Kudryashov Method for Time-Fractional Differential Equations Abstract and Applied Analysis |
| title | Generalized Kudryashov Method for Time-Fractional Differential Equations |
| title_full | Generalized Kudryashov Method for Time-Fractional Differential Equations |
| title_fullStr | Generalized Kudryashov Method for Time-Fractional Differential Equations |
| title_full_unstemmed | Generalized Kudryashov Method for Time-Fractional Differential Equations |
| title_short | Generalized Kudryashov Method for Time-Fractional Differential Equations |
| title_sort | generalized kudryashov method for time fractional differential equations |
| url | http://dx.doi.org/10.1155/2014/901540 |
| work_keys_str_mv | AT seymatulucedemiray generalizedkudryashovmethodfortimefractionaldifferentialequations AT yusufpandir generalizedkudryashovmethodfortimefractionaldifferentialequations AT hasanbulut generalizedkudryashovmethodfortimefractionaldifferentialequations |