Generalized Kudryashov Method for Time‐Fractional Differential Equations

Seyma Tuluce Demiray, Yusuf Pandir and Hasan Bulut

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/901540

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:901540

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