Numerical Solution Of Nonlinear Fractional Differential Equations Using Kharrat-Toma Iterative Method

Abstract

In this paper, the Kharrat-Toma Transform of Riemann-Liouville and Caputo fractional integral and derivatives are derived. Also, Kharrat-Toma Iterative Method is proposed to find the numerical solution of the nonlinear fractional differential equations. This method is a combination of Kharrat-Toma Transform and Iterative method. The results of illustrative examples reveal that our proposed method is effective and powerful to solve the nonlinear fractional differential equations. A comparison is made with an exact solution and existing method.