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|Title:||Nonsymmetric and symmetric fractional calculi on arbitrary nonempty closed sets|
Brito da Cruz, Artur M.C.
Torres, Delfim F.M.
|Keywords:||Discrete and continuous fractional calculi|
Nonsymmetric and symmetric fractional calculi
|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.|
|Appears in Collections:||CIDMA - Artigos|
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