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Generalized Kudryashov Method for Time-Fractional Differential Equations

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  • Seyma Tuluce Demiray
  • Yusuf Pandir
  • Hasan Bulut

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.

Suggested Citation

  • Seyma Tuluce Demiray & Yusuf Pandir & Hasan Bulut, 2014. "Generalized Kudryashov Method for Time-Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, July.
    • Handle: RePEc:hin:jnlaaa:901540
    DOI: 10.1155/2014/901540
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    Cited by:

    1. Gupta, A.K. & Ray, S. Saha, 2018. "On the solution of time-fractional KdV–Burgers equation using Petrov–Galerkin method for propagation of long wave in shallow water," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 376-380.

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