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Weyl and Marchaud Derivatives: A Forgotten History

Author

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  • Fausto Ferrari

    (Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy)

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.

Suggested Citation

  • Fausto Ferrari, 2018. "Weyl and Marchaud Derivatives: A Forgotten History," Mathematics, MDPI, vol. 6(1), pages 1-25, January.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:1:p:6-:d:125343
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    References listed on IDEAS

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    1. Lembke B., 1918. "√ a. p," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 111(1), pages 709-712, February.
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    Cited by:

    1. Min Cai & Changpin Li, 2020. "Numerical Approaches to Fractional Integrals and Derivatives: A Review," Mathematics, MDPI, vol. 8(1), pages 1-53, January.
    2. Suchandan Kayal & N. Balakrishnan, 2023. "Weighted fractional generalized cumulative past entropy and its properties," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-23, June.
    3. D’Ovidio, Mirko & Iafrate, Francesco, 2024. "Elastic drifted Brownian motions and non-local boundary conditions," Stochastic Processes and their Applications, Elsevier, vol. 167(C).

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