An Efficient Hybrid Method and Its Convergence Analysis for Solving Volterra Integro-Differential Equations with Fractional Order

摘要

In this paper, we apply an efficient hybrid method for solving the fractional Volterra integro-differential equations. The method is based upon hybrid approach consisting a coupling of variational iteration method and Laplace transform. This work extends and applied a novel and simple method to obtain rigorously reliable and accurate results. The stability and convergence of presented method are analyzed by some theorems. Also, several numerical examples are carried out to confirm the validity and efficiency of proposed approach. Moreover, the fractional Volterra population growth model is considered by our method as an application.