Complex-valued fractional derivatives on time scales

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.

Detalhes bibliográficos
Autor principal: Bayour, Benaoumeur (author)
Outros Autores: Torres, Delfim F.M. (author)
Formato: bookPart
Idioma:eng
Publicado em: 2016
Assuntos:
Calculus on time scales
Complex-valued operator
Fractional calculus
Hilger derivative of noninteger order
Calculations
Time measurement
Closed subsets
Fractional derivatives
Real number
Time-scales
Difference equations
Texto completo:http://hdl.handle.net/10773/16632
País:Portugal
Oai:oai:ria.ua.pt:10773/16632

Texto Completo

http://hdl.handle.net/10773/16632

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