Mappings for special functions on Cantor sets and special integral transforms via local fractional operators
type: Item
instance of: scholarly article
title: Mappings for special functions on Cantor sets and special integral transforms via local fractional operators
zbMATH Open document ID: 1295.26008
DOI: 10.1155/2013/316978
author: Yang Zhao
author: Mihaela Cristina Baleanu
author: De-Fu Cheng
author: Xiao-Jun Yang
author: D. Baleanu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 6306649
Wikidata QID: Q58101450
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/316978
OpenAlex ID: W2146947682
cites work: Q4222737
cites work: On some properties of the Gamma function
cites work: Some results on a generalized hypergeometric function
cites work: Certain unified integrals associated with Bessel functions
cites work: Metaplectic Whittaker functions and crystal bases
cites work: Q4308007
cites work: Q4743083
cites work: On the generalized mittag-leffler type functions
cites work: Q5756343
cites work: Q3006513
cites work: Q5699297
cites work: Advances in Fractional Calculus
cites work: Fractional processes and fractional-order signal processing. Techniques and applications
cites work: On Mittag-Leffler-type functions in fractional evolution processes
cites work: Fractional reaction-diffusion equations
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Mittag-Leffler stability theorem for fractional nonlinear systems with delay
cites work: Local fractional Fourier series with application to wave equation in fractal vibrating string
cites work: Analysis of fractal wave equations by local fractional Fourier series method
cites work: Mathematical aspects of the Heisenberg uncertainty principle within local fractional Fourier analysis
cites work: Asymptotic methods for solitary solutions and compactons
cites work: Generalizations of Hölder's and some related integral inequalities on fractal space
description: scientific article; zbMATH DE number 6306649