Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6959632 | Signal Processing | 2015 | 8 Pages |
Abstract
We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed. As particular cases, one obtains the usual time-scale Hilger derivative when the order of differentiation is one, and a local approach to fractional calculus when the time scale is chosen to be the set of real numbers.
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Nadia Benkhettou, Artur M.C. Brito da Cruz, Delfim F.M. Torres,