JAMP  Vol.7 No.4 , April 2019
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
Abstract: Our purpose of this paper is to apply the improved Kudryashov method for solving various types of nonlinear fractional partial differential equations. As an application, the time-space fractional Korteweg-de Vries-Burger (KdV-Burger) equation is solved using this method and we get some new travelling wave solutions. To acquire our purpose a complex transformation has been also used to reduce nonlinear fractional partial differential equations to nonlinear ordinary differential equations of integer order, in the sense of the Jumarie’s modified Riemann-Liouville derivative. Afterwards, the improved Kudryashov method is implemented and we get our required reliable solutions where the results are justified by mathematical software Maple-13.
Cite this paper: Salam, M. and Habiba, U. (2019) Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations. Journal of Applied Mathematics and Physics, 7, 912-920. doi: 10.4236/jamp.2019.74061.

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