Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16667
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 |
URI: | http://hdl.handle.net/10773/16667 |
DOI: | 10.1002/mma.3475 |
ISSN: | 0170-4214 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[320]Nadia_Miguel_Torres_symfract.pdf | 281.1 kB | Adobe PDF |
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