Fractional calculus and Shannon wavelet
type: Item
instance of: scholarly article
title: Fractional calculus and Shannon wavelet
zbMATH Open document ID: 1264.42016
DOI: 10.1155/2012/502812
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: An explicit analytical formula for the any order fractional derivative of Shannon wavelet is given as wavelet series based on connection coefficients. So that for any \(L_2(\mathbb R)\) function, reconstructed by Shannon wavelets, we can easily define its fractional derivative. The approximation error is explicitly computed, and the wavelet series is compared with Grünwald fractional derivative by focusing on the many advantages of the wavelet method, in terms of rate of convergence.
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 65T60
zbMATH DE Number: 6173337
Wikidata QID: Q58911874
author: Carlo Cattani
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/502812
OpenAlex ID: W2045653269
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description: scientific article; zbMATH DE number 6173337