Sumudu transform Iterative Method for solving time-fractional Schrödinger Equations

Abstract

The purpose of this study is to solve the time-fractional Schrödinger equations under initial conditions by using a newly developed analytical method known as the Sumudu transform iterative method. The time-fractional derivative is defined in the Caputo sense, and the solutions are achieved in closed form, in terms of Mittag-Leffler functions. Furthermore, the obtained results show that the proposed method is simple to implement and computationally attractive.