An analytical treatment toward solution of fractional Schrödinger equation

摘要

We have applied the new approach of homotopic perturbation method (NHPM) for Schrödinger equation featuring time-fractional derivative. A combination of NHPM, Laplace transform and multiple fractional power series form has been used the first time to present analytical solution. Then, in order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples have been given. All numerical calculations in this manuscript have been carried out with Mathematica.