Abstract and Applied Analysis

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

Yang Zhao, Dumitru Baleanu, Mihaela Cristina Baleanu, De-Fu Cheng, and Xiao-Jun Yang

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 316978, 6 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450254

Digital Object Identifier
doi:10.1155/2013/316978

Mathematical Reviews number (MathSciNet)
MR3121528

Zentralblatt MATH identifier
1295.26008

Citation

Zhao, Yang; Baleanu, Dumitru; Baleanu, Mihaela Cristina; Cheng, De-Fu; Yang, Xiao-Jun. Mappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 316978, 6 pages. doi:10.1155/2013/316978. https://projecteuclid.org/euclid.aaa/1393450254


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