New approaches for the solution of space-time fractional Schrödinger equation

Advances in Difference Equations

article

Demir, Ali¹  Bayrak, Mine Aylin¹  Ozbilge, Ebru² 

[1] Department of Mathematics, Kocaeli University;Department of Mathematics and Statistics, American University of the Middle East

关键词: Fractional Schrödinger equation;    Residual power series method;    Space-time fractional differential equations;   

DOI  :  10.1186/s13662-020-02581-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

The aim of this study is to establish the solution of the time-space fractional Schrödinger equation subject to initial and boundary conditions which has many applications in science such as nonlinear optics, plasma physics, super conductivity, based on the residual power series method (RPSM). We first apply suitable transformations to make the order of one of the fractional derivatives integer to implement the RPSM easily to construct the fractional power series solution. The method proposed in this article gives highly encouraging results. Illustrative examples show that this method is compatible with solving such fractional differential equations.

【 授权许可】

CC BY