%0 Journal Article %T Exact Solution to Nonlinear Differential Equations of Fractional Order via (<i>GĄ¯</i>/<i>G</i>)-Expansion Method %A Muhammad Younis %A Asim Zafar %J Applied Mathematics %P 1-6 %@ 2152-7393 %D 2014 %I Scientific Research Publishing %R 10.4236/am.2014.51001 %X

In this article, a new application to find the exact solutions of nonlinear partial time-space fractional differential Equation has been discussed. Firstly, the fractional complex transformation has been implemented to convert nonlinear partial fractional differential Equations into nonlinear ordinary differential Equations. Afterwards, the (G'/G)-expansion method has been implemented, to celebrate the exact solutions of these Equations, in the sense of modified Riemann-Liouville derivative. As application, the exact solutions of time-space fractional BurgersĄ¯ Equation have been discussed.

%K Exact Solution to Nonlinear Differential Equations of Fractional Order via (< %K i> %K GĄ¯< %K /i> %K /< %K i> %K G< %K /i> %K )-Expansion Method %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=41194