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Proceedings of the Estonian Academy of Sciences
Article . 2022 . Peer-reviewed
License: CC BY
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zbMATH Open
Article . 2022
Data sources: zbMATH Open
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Haar wavelet fractional derivative

Authors: Carlo Cattani;

Haar wavelet fractional derivative

Abstract

In this paper, the fundamental properties of fractional calculus are discussed with the aim of extending the definition of fractional operators by using wavelets. The Haar wavelet fractional operator is defined, in a more general form, independently on the kernel of the fractional integral.

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Keywords

operational matrix., Fractional derivatives and integrals, Science, Q, operational matrix, haar wavelet, Haar wavelet, Nontrigonometric harmonic analysis involving wavelets and other special systems, fractional calculus, wavelet theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
gold