Numerical solutions of coupled nonlinear fractional KdV equations using He’s fractional calculus

Abstract

In this paper, we determine the application of the Fractional Elzaki Projected Differential Transform Method (FEPDTM) to develop new efficient approximate solutions of coupled nonlinear fractional KdV equations analytically and computationally. Numerical solutions are obtained, and some major characteristics demonstrate realistic reliance on fractional-order values. The basic tools, properties and approaches introduced in He’s fractional calculus are utilized to explain fractional derivatives. The consistency of FEPDTM and the reduction in computational time give FEPDTM extensive applicability. Furthermore, the calculations concerned in FEPDTM are too simple and straightforward. It is verified that FEPDTM is an influential and efficient technique to handle fractional partial differential equations. It is being observed that FEPDTM is more efficient than known analytical and computational methods.