Approximate analytical solutions of differential equations with Caputo-Fabrizio fractional derivative via new iterative method

Abstract

In this paper, we obtain the approximate analytical solution of fractional differential equations (FDEs) with Caputo- Fabrizio fractional derivative (CFFD) by using a new iterative method (NIM). The approximate analytical solution is obtained within CFFD. The analytical strategy generates the series form solution, with less computational work and fast convergence rate to the exact solutions. The obtained results have shown a simple and useful procedure to analyze complex problems in related areas of science and technology.