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  5. THE FRACTIONAL COMPLEX TRANSFORM: A NOVEL APPROACH TO THE TIME-FRACTIONAL SCHRÖDINGER EQUATION

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Article
English
2020

THE FRACTIONAL COMPLEX TRANSFORM: A NOVEL APPROACH TO THE TIME-FRACTIONAL SCHRÖDINGER EQUATION

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English
2020
Fractals
Vol 28 (07)
DOI: 10.1142/s0218348x20501418

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Ji-huan He
Ji-huan He

Soochow University

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Qura Tul Ain
Ji-huan He
Naveed Anjum
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Abstract

This paper presents a thorough study of a time-dependent nonlinear Schrödinger (NLS) differential equation with a time-fractional derivative. The fractional time complex transform is used to convert the problem into its differential partner, and its nonlinear part is then discretized using He’s polynomials so that the homotopy perturbation method (HPM) can be applied powerfully. The two-scale concept is used to explain the substantial meaning of the fractional time complex transform and the solution.

How to cite this publication

Qura Tul Ain, Ji-huan He, Naveed Anjum, Muhammad Ali (2020). THE FRACTIONAL COMPLEX TRANSFORM: A NOVEL APPROACH TO THE TIME-FRACTIONAL SCHRÖDINGER EQUATION. Fractals, 28(07), pp. 2050141-2050141, DOI: 10.1142/s0218348x20501418.

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Publication Details

Type

Article

Year

2020

Authors

4

Datasets

0

Total Files

0

Language

English

Journal

Fractals

DOI

10.1142/s0218348x20501418

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