Article
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Bilateral Tempered Fractional Derivatives
Version 1
: Received: 12 April 2021 / Approved: 13 April 2021 / Online: 13 April 2021 (18:48:08 CEST)
A peer-reviewed article of this Preprint also exists.
Ortigueira, M.D.; Bengochea, G. Bilateral Tempered Fractional Derivatives. Symmetry 2021, 13, 823. Ortigueira, M.D.; Bengochea, G. Bilateral Tempered Fractional Derivatives. Symmetry 2021, 13, 823.
Abstract
The bilateral tempered fractional derivatives are introduced generalising previous works on the one-sided tempered fractional derivatives and the two-sided fractional derivatives. An analysis of the tempered Riesz potential is done and showed that it cannot be considered as a derivative.
Keywords
Tempered Fractional Derivative; One-sided Tempered Fractional Derivative; Bilateral Tempered Fractional Derivative; Tempered Riesz potential.
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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