Solutions of fractional differential equations using power series method and Sumudu transform

An analytic function can be approximated by its corresponding power series. The advantage of the Sumudu transform is to turn differential equations into algebraic equations. Combining the power series method with the Sumudu transform, the approximation solutions of the fractional differential equations are studied. Several numerical examples show the better, efficient and high accurate results by utilizing the proposed approach. 2020 MSC: O175.11