Generalized Kudryashov Method for Time-Fractional Differential Equations

Seyma Tuluce Demiray, Yusuf Pandir and Hasan Bulut

Abstract and Applied Analysis, 2014, vol. 2014, 1-13

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:901540

DOI: 10.1155/2014/901540

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