Exact solutions for some nonlinear fractional parabolic partial differential equations

Abstract

A method for solving some nonlinear fractional parabolic partial differential equations is considered. Using this method, new exact solutions are obtained. By introducing suitable transformation, we obtain a system of fractional differential equations. This system will generate the exact solutions. The efficiency of the considered method can be demonstrated for a large variety of equations more general than Burgers, Murrary and Fishers equations.