Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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