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.

Weyl and Marchaud Derivatives: A Forgotten History / Ferrari, Fausto. - In: MATHEMATICS. - ISSN 2227-7390. - ELETTRONICO. - 6:1(2018), pp. 1-25. [10.3390/math6010006]

Weyl and Marchaud Derivatives: A Forgotten History

Ferrari, Fausto
2018

Abstract

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.
2018
Weyl and Marchaud Derivatives: A Forgotten History / Ferrari, Fausto. - In: MATHEMATICS. - ISSN 2227-7390. - ELETTRONICO. - 6:1(2018), pp. 1-25. [10.3390/math6010006]
Ferrari, Fausto
File in questo prodotto:
File Dimensione Formato  
mathematics-06-00006.pdf

accesso aperto

Tipo: Versione (PDF) editoriale
Licenza: Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione 317.34 kB
Formato Adobe PDF
317.34 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/620245
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 55
  • ???jsp.display-item.citation.isi??? 51
social impact