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The Complex Order Fractional Derivatives and Systems Are Non Hermitian

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Submitted:

11 March 2021

Posted:

15 March 2021

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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.
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Subject: Engineering  -   Automotive Engineering
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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