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arXiv · 1511.02153

Complex-valued fractional derivatives on time scales

Benaoumeur Bayour·Delfim F. M. Torres
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Abstract

We introduce a notion of fractional (noninteger order) derivative on an arbitrary nonempty closed subset of the real numbers (on a time scale). Main properties of the new operator are proved and several illustrative examples given.

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Benaoumeur Bayour, Delfim F. M. Torres. 2015-11-06. Complex-valued fractional derivatives on time scales. https://doi.org/10.1007/978-3-319-32857-7_8

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