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Optical and Quantum Electronics

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01-06-2017

An analytical treatment toward solution of fractional Schrödinger equation

Authors: Bahram Agheli, Rahmat Darzi

Published in: Optical and Quantum Electronics | Issue 6/2017

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Abstract

We have applied the new approach of homotopic perturbation method (NHPM) for Schrödinger equation featuring time-fractional derivative. A combination of NHPM, Laplace transform and multiple fractional power series form has been used the first time to present analytical solution. Then, in order to illustrate the simplicity and ability of the suggested approach, some specific and clear examples have been given. All numerical calculations in this manuscript have been carried out with Mathematica.

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Title: An analytical treatment toward solution of fractional Schrödinger equation
Authors: Bahram Agheli
Rahmat Darzi
Publication date: 01-06-2017
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 6/2017
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-017-1059-7

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