Weyl and Marchaud Derivatives: A Forgotten History

2018/01/03 by Fausto Ferrari · 1 citation
Mathematics · Medicine · #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Perspective (graphical) #Fractional calculus #Derivative (finance) #Mathematics #Operator (biology) #Laplace transform #Recall #Pure mathematics #Algebra over a field #Calculus (dental) #Applied mathematics #Mathematical analysis #Philosophy #Linguistics #Geometry #Medicine

paper · pdf · doi:10.3390/math6010006

openalex publication_date 2018/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23

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.

Citations

• ON FRACTIONAL INTEGRALS AND DERIVATIVES
• Hitchhikerʼs guide to the fractional Sobolev spaces
• Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian

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• Fractional calculus [wikipedia]

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