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

被引：4

作者：

Kapoor, Mamta ^{[1
]}

Shah, Nehad Ali ^{[2
]}

Weera, Wajaree ^{[3
]}

机构：

[1] Lovely Profess Univ, Dept Math, Phagwara, Punjab, India

[2] Sejong Univ, Dept Mech Engn, Seoul 05006, South Korea

[3] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 10期

关键词：

time-fractional Schrodinger equations; Shehu transform; Adomian Decomposition Method; graphical presentation; tabular analysis; convergence property; TRANSFORM; LAPLACE; SUMUDU;

D O I：

10.3934/math.20221074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：19562 / 19596

页数：35

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