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

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.

Bibliographic Details
Main Authors: Yang Zhao, Dumitru Baleanu, Mihaela Cristina Baleanu, De-Fu Cheng, Xiao-Jun Yang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/316978