On fractional derivatives and primitives of periodic functions

2014/05/23 by I. Area, Area, I., J. Losada +3
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 26A33 #Secondary 34A08 #math.CA #msc:26A33 #msc:34A08

paper · pdf · doi:10.48550/arxiv.1405.6010

12 pages

arxiv created 2014/07/08 · arxiv updated 2014/07/09

Abstract

In this paper 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.

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