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arxiv: 1511.02153 · v1 · pith:DBKOE7T6new · submitted 2015-11-06 · 🧮 math.CA

Complex-valued fractional derivatives on time scales

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keywords fractionaltimearbitraryclosedcomplex-valuedderivativederivativesexamples
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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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