Series Solution and Wave Solution of Time Fractional Generalized Korteweg-de Vries Equation

Abstract

In the present article, exact solutions of nonlinear fractional ????????ℎ order  Korteweg-de Vries equation time fractional derivatives are deduced and analyzed. The Lie symmetry approach has been used to identify the fractional KdV equation's infinitesimal generators and symmetry reductions. Some new exact solutions are obtained with using (????′/ ???? )–expansion method. The wave solutions and series solutions of KdV nonlinear fractional partial differential equation has been evaluated and in the form of rational and exponential. All the calculations have done in Maple.