时间分数阶薛定谔方程的Shehu变换——一种分析方法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-08-08 DOI:10.1515/ijnsns-2021-0423

Mamta Kapoor

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引用次数: 2

摘要

摘要在本研究中，使用一种称为Shehu变换的积分变换来处理时间分数阶薛定谔方程的解析解。本文讨论了三类时间分数阶薛定谔方程。Shehu变换用于减少时间分数PDE以及Caputo意义上的分数导数。本方法在寻找分析解决方案时易于实现。由于不需要离散化或数值程序，本文的格式肯定有助于找到一些复杂性质的分数阶偏微分方程的解析解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Shehu transform on time-fractional Schrödinger equations – an analytical approach

Abstract In the present study, time-fractional Schrödinger equations are dealt with for the analytical solution using an integral transform named Shehu Transform. Three kinds of time-fractional Schrödinger equations are discussed in the present study. Shehu transform is utilized to reduce the time-fractional PDE along with the fractional derivative in the Caputo sense. The present method is easy to implement in the search for an analytical solution. As no discretization or numerical program is required, the present scheme will surely be helpful in finding the analytical solution to some complex-natured fractional PDEs.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.