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

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.

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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

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 1349.65274
MathSciNet: MR3240569
Digital Object Identifier: 10.1155/2014/901540

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI40 • 2014
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