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Improved (G′/G)‐Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations

Author

Listed:
  • Ali Akgül
  • Adem Kılıçman
  • Mustafa Inc

Abstract

The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved (G′/G)‐expansion method is suggested to solve the space and time fractional foam drainage and KdV equations. The obtained results show that the presented method is effective and appropriate for solving nonlinear fractional differential equations.

Suggested Citation

  • Ali Akgül & Adem Kılıçman & Mustafa Inc, 2013. "Improved (G′/G)‐Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:414353
    DOI: 10.1155/2013/414353
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    References listed on IDEAS

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    1. Abdolhosein Fereidoon & Hessameddin Yaghoobi & Mohammadreza Davoudabadi, 2011. "Application of the Homotopy Perturbation Method for Solving the Foam Drainage Equation," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-13, August.
    2. Ji-Huan He, 2012. "Homotopy Perturbation Method with an Auxiliary Term," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, February.
    3. Ji-Huan He, 2012. "Homotopy Perturbation Method with an Auxiliary Term," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Wei Li & Huizhang Yang & Bin He, 2014. "Exact Solutions of the Space‐Time Fractional Bidirectional Wave Equations Using the (G′/G)‐Expansion Method," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. E. A.-B. Abdel-Salam & E. A. Yousif & Y. A. S. Arko & E. A. E. Gumma, 2014. "Solution of Moving Boundary Space‐Time Fractional Burger’s Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

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