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Generalized Kudryashov Method for Time‐Fractional Differential Equations

Author

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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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:901540
    DOI: 10.1155/2014/901540
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    References listed on IDEAS

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    1. Hasan Bulut & Haci Mehmet Baskonus & Yusuf Pandir, 2013. "The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Hasan Bulut & Haci Mehmet Baskonus & Yusuf Pandir, 2013. "The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
    3. Abdon Atangana & Seyma Tuluce Demiray & Hasan Bulut, 2014. "Modelling the Nonlinear Wave Motion within the Scope of the Fractional Calculus," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Abdon Atangana & Seyma Tuluce Demiray & Hasan Bulut, 2014. "Modelling the Nonlinear Wave Motion within the Scope of the Fractional Calculus," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, May.
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