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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 316978, 6 pages
http://dx.doi.org/10.1155/2013/316978
Research Article

Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators

1Electronic and Information Technology Department, Jiangmen Polytechnic, Jiangmen 529090, China
2College of Instrumentation & Electrical Engineering, Jilin University, Changchun 130061, China
3Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia
4Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey
5Institute of Space Sciences, Magurele, 077125 Bucharest, Romania
6Mihail Sadoveanu Theoretical High School, District 2, Street Popa Lazar No. 8, 021586 Bucharest, Romania
7Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou Campus, Xuzhou, Jiangsu 221008, China

Received 27 August 2013; Accepted 24 September 2013

Academic Editor: Ali H. Bhrawy

Copyright © 2013 Yang Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The mappings for some special functions on Cantor sets are investigated. Meanwhile, we apply the local fractional Fourier series, Fourier transforms, and Laplace transforms to solve three local fractional differential equations, and the corresponding nondifferentiable solutions were presented.