Weyl and Marchaud Derivatives: A Forgotten History
In this paper, we recall the contribution given by Hermann Weyl and André Marchaud to the notion of fractional derivative. In addition, we discuss some relationships between the fractional Laplace operator and Marchaud derivative in the perspective to generalize these objects to different fields of...
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-01-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/6/1/6 |
| _version_ | 1818990547468025856 |
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| author | Fausto Ferrari |
| author_facet | Fausto Ferrari |
| author_sort | Fausto Ferrari |
| collection | DOAJ |
| description | In this paper, we recall the contribution given by Hermann Weyl and André Marchaud to the notion of fractional derivative. In addition, we discuss some relationships between the fractional Laplace operator and Marchaud derivative in the perspective to generalize these objects to different fields of the mathematics. |
| first_indexed | 2024-12-20T19:56:06Z |
| format | Article |
| id | doaj.art-4f3e937826674064827c26c60b75acef |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-20T19:56:06Z |
| publishDate | 2018-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-4f3e937826674064827c26c60b75acef2022-12-21T19:28:09ZengMDPI AGMathematics2227-73902018-01-0161610.3390/math6010006math6010006Weyl and Marchaud Derivatives: A Forgotten HistoryFausto Ferrari0Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, ItalyIn this paper, we recall the contribution given by Hermann Weyl and André Marchaud to the notion of fractional derivative. In addition, we discuss some relationships between the fractional Laplace operator and Marchaud derivative in the perspective to generalize these objects to different fields of the mathematics.http://www.mdpi.com/2227-7390/6/1/6fractional derivativesGrünwald–Letnikov derivativeWeyl derivativeMarchaud derivativefractional Laplace operatorextension operator |
| spellingShingle | Fausto Ferrari Weyl and Marchaud Derivatives: A Forgotten History Mathematics fractional derivatives Grünwald–Letnikov derivative Weyl derivative Marchaud derivative fractional Laplace operator extension operator |
| title | Weyl and Marchaud Derivatives: A Forgotten History |
| title_full | Weyl and Marchaud Derivatives: A Forgotten History |
| title_fullStr | Weyl and Marchaud Derivatives: A Forgotten History |
| title_full_unstemmed | Weyl and Marchaud Derivatives: A Forgotten History |
| title_short | Weyl and Marchaud Derivatives: A Forgotten History |
| title_sort | weyl and marchaud derivatives a forgotten history |
| topic | fractional derivatives Grünwald–Letnikov derivative Weyl derivative Marchaud derivative fractional Laplace operator extension operator |
| url | http://www.mdpi.com/2227-7390/6/1/6 |
| work_keys_str_mv | AT faustoferrari weylandmarchaudderivativesaforgottenhistory |