Weyl and Marchaud Derivatives: A Forgotten History

Fausto Ferrari
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Fausto Ferrari: Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy

Mathematics, 2018, vol. 6, issue 1, 1-25

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.

Keywords: fractional derivatives; Grünwald–Letnikov derivative; Weyl derivative; Marchaud derivative; fractional Laplace operator; extension operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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