Open AccessMappings for Special Functions on Cantor Sets and Special Integral Transforms via Local Fractional Operators
Author(s) -
Yang Zhao,
Dumitru Băleanu,
Mihaela Cristina Baleanu,
Defu Cheng,
XiaoJun Yang
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/316978
Subject(s) - mathematics , laplace transform , fractional calculus , fourier transform , fourier series , special functions , mathematical analysis , pure mathematics
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
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