Haar wavelet fractional derivative

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. © 2022 A...

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Bibliographic Details
Main Author: Cattani, C. (Author)
Format: Article
Language:English
Published: Estonian Academy Publishers 2022
Subjects:
Online Access:View Fulltext in Publisher
LEADER 01199nam a2200289Ia 4500
001 0.3176-proc.2022.1.05
008 220421s2022 CNT 000 0 und d
020 |a 17366046 (ISSN) 
245 1 0 |a Haar wavelet fractional derivative 
260 0 |b Estonian Academy Publishers  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.3176/proc.2022.1.05 
520 3 |a 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. © 2022 Author. 
650 0 4 |a Calculations 
650 0 4 |a fractional calculus 
650 0 4 |a Fractional calculus 
650 0 4 |a Fractional derivatives 
650 0 4 |a Fractional integrals 
650 0 4 |a Fractional operators 
650 0 4 |a Fundamental properties 
650 0 4 |a Haar wavelet 
650 0 4 |a Haar-wavelets 
650 0 4 |a Operational matrices 
650 0 4 |a operational matrix 
650 0 4 |a wavelet theory 
650 0 4 |a Wavelet theory 
700 1 0 |a Cattani, C.  |e author 
773 |t Proceedings of the Estonian Academy of Sciences