Analytical solution of time-fractional Schrodinger equations via Shehu Adomian Decomposition Method

Present research deals with the time-fractional Schrodinger equations aiming for the analytical solution via Shehu Transform based Adomian Decomposition Method [STADM]. Three types of time-fractional Schrodinger equations are tackled in the present research. Shehu transform ADM is incorporated to solve the time-fractional PDE along with the fractional derivative in the Caputo sense. The developed technique is easy to implement for fetching an analytical solution. No discretization or numerical program development is demanded. The present scheme will surely help to find the analytical solution to some complex-natured fractional PDEs as well as integro-differential equations. Convergence of the proposed method is also mentioned.

Automated summary

The present research focuses on finding analytical solutions for time-fractional Schrodinger equations using the Shehu Transform based Adomian Decomposition Method [STADM]. Three types of time-fractional Schrodinger equations are addressed in this study. The proposed technique, which combines Shehu transform ADM and Caputo fractional derivative, allows for easy implementation and does not require discretization or numerical program development. The method is expected to be helpful in obtaining analytical solutions for complex-natured fractional PDEs and integro-differential equations, and its convergence is also mentioned.