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Open AccessCommunication

Maximal Domains for Fractional Derivatives and Integrals

ICP, Fakultät für Mathematik und Physik, Universität Stuttgart, Allmandring 3, 70569 Stuttgart, Germany
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Mathematics 2020, 8(7), 1107; https://doi.org/10.3390/math8071107
Received: 11 March 2020 / Revised: 3 June 2020 / Accepted: 6 June 2020 / Published: 6 July 2020
(This article belongs to the Special Issue Fractional Integrals and Derivatives: “True” versus “False”)
The purpose of this short communication is to announce the existence of fractional calculi on precisely specified domains of distributions. The calculi satisfy desiderata proposed above in Mathematics 7, 149 (2019). For the desiderata (a)–(c) the examples are optimal in the sense of having maximal domains with respect to convolvability of distributions. The examples suggest to modify desideratum (f) in the original list. View Full-Text
Keywords: fractional derivatives; fractional integrals; fractional calculus fractional derivatives; fractional integrals; fractional calculus
MDPI and ACS Style

Hilfer, R.; Kleiner, T. Maximal Domains for Fractional Derivatives and Integrals. Mathematics 2020, 8, 1107. https://doi.org/10.3390/math8071107

AMA Style

Hilfer R, Kleiner T. Maximal Domains for Fractional Derivatives and Integrals. Mathematics. 2020; 8(7):1107. https://doi.org/10.3390/math8071107

Chicago/Turabian Style

Hilfer, R.; Kleiner, T. 2020. "Maximal Domains for Fractional Derivatives and Integrals" Mathematics 8, no. 7: 1107. https://doi.org/10.3390/math8071107

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