Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System

The local fractional Schrödinger equations in the one-dimensional Cantorian system are investigated. The approximations solutions are obtained by using the local fractional series expansion method. The obtained solutions show that the present method is an efficient and simple tool for solving the li...

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Main Authors: Yang Zhao, De-Fu Cheng, Xiao-Jun Yang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2013/291386
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author Yang Zhao
De-Fu Cheng
Xiao-Jun Yang
author_facet Yang Zhao
De-Fu Cheng
Xiao-Jun Yang
author_sort Yang Zhao
collection DOAJ
description The local fractional Schrödinger equations in the one-dimensional Cantorian system are investigated. The approximations solutions are obtained by using the local fractional series expansion method. The obtained solutions show that the present method is an efficient and simple tool for solving the linear partial differentiable equations within the local fractional derivative.
format Article
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institution Kabale University
issn 1687-9120
1687-9139
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Advances in Mathematical Physics
spelling doaj-art-f994f60e89cc45c088ca3632f74339782025-02-03T06:46:11ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/291386291386Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian SystemYang Zhao0De-Fu Cheng1Xiao-Jun Yang2College of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, ChinaCollege of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, ChinaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, ChinaThe local fractional Schrödinger equations in the one-dimensional Cantorian system are investigated. The approximations solutions are obtained by using the local fractional series expansion method. The obtained solutions show that the present method is an efficient and simple tool for solving the linear partial differentiable equations within the local fractional derivative.http://dx.doi.org/10.1155/2013/291386
spellingShingle Yang Zhao
De-Fu Cheng
Xiao-Jun Yang
Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
Advances in Mathematical Physics
title Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
title_full Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
title_fullStr Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
title_full_unstemmed Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
title_short Approximation Solutions for Local Fractional Schrödinger Equation in the One-Dimensional Cantorian System
title_sort approximation solutions for local fractional schrodinger equation in the one dimensional cantorian system
url http://dx.doi.org/10.1155/2013/291386
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AT xiaojunyang approximationsolutionsforlocalfractionalschrodingerequationintheonedimensionalcantoriansystem