Semi-analytic solution of time-fractional Korteweg-de Vries equation using fractional residual power series method

Abstract

In this paper, we solve the non-linear Korteweg-de Vries equation by considering the time-fraction derivative in Caputo sense and oered intrinsic properties of solitary waves. The fractional residual power series method is used to obtain the approximate solution of the aforesaid equation and compared the obtained results with Adomian Decomposition Method. Obtained results are effcient, reliable, and simple to execute on most of the non-linear fractional partial dierential equations, which arise in various dynamical systems