Younis, M., Iftikhar, M. and Rehman, H.U. (2014) Exact Solutions to the Nonlinear Schrdinger and Eckhaus Equations by Modied Simple Equation Method. Journal of Advanced Physics, (accepted).

has been cited by the following article:

• TITLE: A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method

  AUTHORS: Muhammad Younis

  KEYWORDS: Exact Solutions, Complex Transformation, Modified Simple Equation Method, Nonlinear Equations of Fractional Order, Fractional Calculus Theory

  JOURNAL NAME: Applied Mathematics, Vol.5 No.13, July 10, 2014

  ABSTRACT: In this article, the modified simple equation method has been extended to celebrate the exact solutions of nonlinear partial time-space differential equations of fractional order. Firstly, the fractional complex transformation has been implemented to convert nonlinear partial fractional differential equations into nonlinear ordinary differential equations. Afterwards, modified simple equation method has been implemented, to find the exact solutions of these equations, in the sense of modified Riemann-Liouville derivative. For applications, the exact solutions of time-space fractional derivative Burgers’ equation and time-space fractional derivative foam drainage equation have been discussed. Moreover, it can also be concluded that the proposed method is easy, direct and concise as compared to other existing methods.