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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 901540, 13 pages
http://dx.doi.org/10.1155/2014/901540
Research Article

Generalized Kudryashov Method for Time-Fractional Differential Equations

1Department of Mathematics, Firat University, 23119 Elazig, Turkey
2Department of Mathematics, Bozok University, 66100 Yozgat, Turkey

Received 25 March 2014; Revised 9 June 2014; Accepted 9 June 2014; Published 16 July 2014

Academic Editor: Dumitru Baleanu

Copyright © 2014 Seyma Tuluce Demiray et al. 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.

Abstract

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.