The Complex Order Fractional Derivatives and Systems Are Non Hermitian
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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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- europepmc
- last seen: 2026-05-19T01:45:01.086888+00:00