Article
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Fractional Taylor Expansions and Derivative Regularization
Version 1
: Received: 30 May 2022 / Approved: 31 May 2022 / Online: 31 May 2022 (08:15:13 CEST)
How to cite: Prodanov, D. Fractional Taylor Expansions and Derivative Regularization. Preprints 2022, 2022050414. https://doi.org/10.20944/preprints202205.0414.v1 Prodanov, D. Fractional Taylor Expansions and Derivative Regularization. Preprints 2022, 2022050414. https://doi.org/10.20944/preprints202205.0414.v1
Abstract
Power series expansions are useful in approximation theory and mathematical physics. The manuscript presents several types of fractional Taylor expansions of sufficiently smooth functions. This is achieved by employing an incremental regularization procedure to the computation of the derivative. The series are constructed in an algorithmic way, which allows for its implementation in computer algebra systems.
Keywords
holder classes; local fractional derivative; fractional velocity
Subject
Computer Science and Mathematics, Applied 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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