On fractional derivatives and primitives of periodic functions
Classical Analysis and ODEs
2014-07-09 v2
Abstract
In this paper we prove that the fractional derivative or the fractional primitive of a -periodic function cannot be a -periodic function, for any period , with the exception of the zero function.
Keywords
Cite
@article{arxiv.1405.6010,
title = {On fractional derivatives and primitives of periodic functions},
author = {I. Area and J. Losada and J. J. Nieto},
journal= {arXiv preprint arXiv:1405.6010},
year = {2014}
}
Comments
12 pages