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.

Bibliographic Details
Main Author: Bayour, Benaoumeur (author)
Other Authors: Torres, Delfim F.M. (author)
Format: bookPart
Language:eng
Published: 2016
Subjects:
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
Online Access:http://hdl.handle.net/10773/16632
Country:Portugal
Oai:oai:ria.ua.pt:10773/16632

Internet

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

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