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Fractional Calculus and Shannon Wavelet

Name: Fractional Calculus and Shannon Wavelet
Creator: CATTANI, Carlo
Keywords: 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 Italy Publisher:WileyJournal:Mathematical Problems in Engineering, volume 2,012 (issn: 1024-123X, eissn: 1563-5147,

Authors: CATTANI, Carlo;

doi: 10.1155/2012/502812

handle: 11386/3413077

Fractional Calculus and Shannon Wavelet

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Abstract

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 L2(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.

Country

Italy

Related Organizations

Università degli studi di Salerno
Italy
National Institute for Nuclear Physics
Italy

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