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

Authors : Sagar KHİRSARİYA, Snehal RAO, Jignesh CHAUHAN

Pages : 222-234

Doi:10.53006/rna.1024308

View : 13 | Download : 3

Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :In this paper, we have solved the non-linear Korteweg-de Vries equation by considering it in time-fraction Caputo sense and offered 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 efficient, reliable, and simple to execute on most of the non-linear fractional partial differential equations, which arise in various dynamical systems.
Keywords : Fractional differential equation, KdV equation, Residual Power series method, Caputo derivative