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Title: Complex-valued fractional derivatives on time scales
Author: Bayour, Benaoumeur
Torres, Delfim F.M.
Keywords: Calculus on time scales
Complex-valued operator
Fractional calculus
Hilger derivative of noninteger order
Time measurement
Closed subsets
Fractional derivatives
Real number
Difference equations
Issue Date: Sep-2016
Publisher: Springer International Publishing
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. © Springer International Publishing Switzerland 2016.
Peer review: yes
DOI: 10.1007/978-3-319-32857-7_8
ISBN: 978-3-319-32855-3
ISSN: 2194-1009
Appears in Collections:CIDMA - Capítulo de livro

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