Exact solutions for a class of space-time fractional mixed (1+1)-dimensional KdV equations

Abstract:

Exact solutions of a class of space-time fractional mixed (1+1)-dimensional KdV equations with modified Riemann-Liouville fractional derivative are considered. Firstly, the nonlinear fractional partial differential equations are transformed into the nonlinear ordinary differential equations by means of the fractional complex transformation. Then, by applying the first integral method and Maple software, the exact solutions are obtained.

Key words:Riemann-Liouville fractional derivative; First integral method; Fractional complex transformation; Space-time fractional Mixed KdV equation