Weyl and Marchaud Derivatives: A Forgotten History

By Fausto Ferrari. 2017

74 citations recorded by the source corpus.

In this paper, we recall the contribution given by Hermann Weyl and Andre 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.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/7b8ddf7186ae8f578c907670f8bb307e1160fc6c

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Minhao Cai
2. Changpin Li
3. Roberto Garrappa
4. Eva Kaslik

In Modeling and Simulation

1. Changpin Li
2. Minhao Cai
3. Roberto Garrappa
4. Eva Kaslik
5. Marina Popolizio
6. Fanhai Zeng
7. Ş. Yüzbaşı
8. Weihua Deng

Citations in the corpus

• Evaluation of Fractional Integrals and Derivatives of Elementary Functions: Overview and Tutorial (2019, background): “It is also worthwhile to remark that the GL derivative (15) is closely related to the Marchaud derivative as discussed, for instance, in [12] (Chapter 20) and [25].”
• Numerical Approaches to Fractional Integrals and Derivatives: A Review (2020, background): “Rogosin, S.; Dubatovskaya, M. Letnikov vs. Marchaud: A survey on two prominent constructions of fractional derivatives.”