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Title: Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets
Author: Benkhettou, Nadia
Brito da Cruz, Artur M.C.
Torres, Delfim F.M.
Keywords: Discrete and continuous fractional calculi
Nonsymmetric and symmetric fractional calculi
Time scales
Issue Date: Jan-2016
Publisher: Wiley
Abstract: We introduce a nabla, a delta, and a symmetric fractional calculus on arbitrary nonempty closed subsets of the real numbers. These fractional calculi provide a study of differentiation and integration of non-integer order on discrete, continuous, and hybrid settings. Main properties of the new fractional operators are investigated and some fundamental results presented, illustrating the interplay between discrete and continuous behaviors. © 2015 John Wiley & Sons, Ltd.
Peer review: yes
DOI: 10.1002/mma.3475
ISSN: 0170-4214
Appears in Collections:CIDMA - Artigos

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