Analytical solution of time-fractional Schr ö dinger equations via Shehu Adomian Decomposition Method

AIMS Mathematics

article

Mamta Kapoor¹  Nehad Ali Shah²  Wajaree Weera³ 

[1] Department of Mathematics, Lovely Professional University;Department of Mechanical Engineering Sejong University;Department of Mathematics, Faculty of Science, Khon Kaen University

关键词: time-fractional Schr ö dinger equations;    Shehu transform;    Adomian Decomposition Method;    graphical presentation;    tabular analysis;    convergence property;   

DOI  :  10.3934/math.20221074

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

Present research deals with the time-fractional Schr ö dinger equations aiming for the analytical solution via Shehu Transform based Adomian Decomposition Method [STADM]. Three types of time-fractional Schr ö dinger 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.

【 授权许可】

CC BY