Abstract and Applied Analysis

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

Ai-Min Yang, Zeng-Shun Chen, H. M. Srivastava, and Xiao-Jun Yang

Full-text: Open access

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 259125, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450384

Digital Object Identifier
doi:10.1155/2013/259125

Zentralblatt MATH identifier
1292.35316

Citation

Yang, Ai-Min; Chen, Zeng-Shun; Srivastava, H. M.; Yang, Xiao-Jun. Application of the Local Fractional Series Expansion Method and the Variational Iteration Method to the Helmholtz Equation Involving Local Fractional Derivative Operators. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 259125, 6 pages. doi:10.1155/2013/259125. https://projecteuclid.org/euclid.aaa/1393450384


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