Complex-valued fractional derivatives on time scales
Classical Analysis and ODEs
2016-09-06 v1
Abstract
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.
Cite
@article{arxiv.1511.02153,
title = {Complex-valued fractional derivatives on time scales},
author = {Benaoumeur Bayour and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1511.02153},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form will appear in Springer Proceedings in Mathematics & Statistics, ISSN: 2194-1009. Accepted for publication 06/Nov/2015