Maximal Domains for Fractional Derivatives and Integrals

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 06 Jul 2020 English Publisher:MDPI AGJournal:Mathematics, volume 8, page 1,107 (eissn: 2227-7390,

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Authors: R. Hilfer; T. Kleiner;

doi: 10.3390/math8071107

Maximal Domains for Fractional Derivatives and Integrals

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Abstract

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.

Related Organizations

University of Stuttgart
Germany

Keywords

fractional derivatives, QA1-939, fractional integrals, fractional calculus, Mathematics

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