Pourreza Transform Based Correction Functional Technique for the Solution of Nonlinear Fractional Order Differential Equations

Abstract

This study presented the derivation of the Pourreza variational iteration method (PVIM) scheme and was used in determining the approximate numerical solutions of fractional Burger’s equation as well as Newell-Whitehead-Segel equations in the area of Caputo and Caputo-Fabrizio derivatives. Also, the stability analysis of PVIM was conducted, and for diverse values of , the numerical solution for the obtained proposed method was validated by comparison with the exact solution. The validity, efficiency, and accuracy of the method were illustrated by numerical and graphical results which shows that the methodology developed offers a robust mathematical tool for analysing nonlinear fractional order differential equation