Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators

Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators

We investigate solutions of the Helmholtz equation involving local fractional derivative operators. We make use of the series expansion method and the variational iteration method, which are based upon the local fractional derivative operators. The nondifferentiable solution of the problem is obtain...

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Main Authors: Ai-Min Yang, Zeng-Shun Chen, H. M. Srivastava, Xiao-Jun Yang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/259125
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spelling doaj-7b37c1acb94c47ddb68bf876180b74252020-11-25T00:55:14ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/259125259125Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative OperatorsAi-Min Yang0Zeng-Shun Chen1H. M. Srivastava2Xiao-Jun Yang3College of Science, Hebei United University, Tangshan 063009, ChinaSchool of Civil Engineering and Architecture, Chongqing Jiaotong University, Chongqing 400074, ChinaDepartment of Mathematics and Statistics, University of Victoria, Victoria, BC, V8W 3R4, CanadaDepartment of Mathematics and Mechanics, China University of Mining and Technology, Jiangsu, Xuzhou 221008, ChinaWe investigate solutions of the Helmholtz equation involving local fractional derivative operators. We make use of the series expansion method and the variational iteration method, which are based upon the local fractional derivative operators. The nondifferentiable solution of the problem is obtained by using these methods.http://dx.doi.org/10.1155/2013/259125
collection DOAJ
language English
format Article
sources DOAJ
author Ai-Min Yang
Zeng-Shun Chen
H. M. Srivastava
Xiao-Jun Yang
spellingShingle Ai-Min Yang
Zeng-Shun Chen
H. M. Srivastava
Xiao-Jun Yang
Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators
Abstract and Applied Analysis
author_facet Ai-Min Yang
Zeng-Shun Chen
H. M. Srivastava
Xiao-Jun Yang
author_sort Ai-Min Yang
title Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators
title_short Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators
title_full Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators
title_fullStr Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators
title_full_unstemmed Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators
title_sort application of the local fractional series expansion method and the variational iteration method to the helmholtz equation involving local fractional derivative operators
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We investigate solutions of the Helmholtz equation involving local fractional derivative operators. We make use of the series expansion method and the variational iteration method, which are based upon the local fractional derivative operators. The nondifferentiable solution of the problem is obtained by using these methods.
url http://dx.doi.org/10.1155/2013/259125
work_keys_str_mv AT aiminyang applicationofthelocalfractionalseriesexpansionmethodandthevariationaliterationmethodtothehelmholtzequationinvolvinglocalfractionalderivativeoperators
AT zengshunchen applicationofthelocalfractionalseriesexpansionmethodandthevariationaliterationmethodtothehelmholtzequationinvolvinglocalfractionalderivativeoperators
AT hmsrivastava applicationofthelocalfractionalseriesexpansionmethodandthevariationaliterationmethodtothehelmholtzequationinvolvinglocalfractionalderivativeoperators
AT xiaojunyang applicationofthelocalfractionalseriesexpansionmethodandthevariationaliterationmethodtothehelmholtzequationinvolvinglocalfractionalderivativeoperators
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