On Fractional Derivatives and Primitives of Periodic Functions

We prove that the fractional derivative or the fractional primitive of a T-periodic function cannot be a T~-periodic function, for any period T~, with the exception of the zero function.

Bibliographic Details
Main Authors: I. Area, J. Losada, J. J. Nieto
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/392598