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.
Citation
Seyma Tuluce Demiray. Yusuf Pandir. Hasan Bulut. "Generalized Kudryashov Method for Time-Fractional Differential Equations." Abstr. Appl. Anal. 2014 (SI40) 1 - 13, 2014. https://doi.org/10.1155/2014/901540
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