Article
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The Complex Order Fractional Derivatives and Systems Are Non Hermitian
Version 1
: Received: 11 March 2021 / Approved: 15 March 2021 / Online: 15 March 2021 (16:23:56 CET)
How to cite: Ortigueira, M. The Complex Order Fractional Derivatives and Systems Are Non Hermitian. Preprints 2021, 2021030399. https://doi.org/10.20944/preprints202103.0399.v1 Ortigueira, M. The Complex Order Fractional Derivatives and Systems Are Non Hermitian. Preprints 2021, 2021030399. https://doi.org/10.20944/preprints202103.0399.v1
Abstract
This paper discusses the concept of fractional derivative with complex order from the application point of view. It is shown that a fractional derivative is hermitian, if and only if the order is real. The hermitian part of complex order derivatives behave like allpass filters with almost logarithmic phase.
Keywords
Fractional derivative; Derivative order; Hermitian system; Complex order; Liouville derivative
Subject
Engineering, Automotive Engineering
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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