On fractional derivatives and primitives of periodic functions

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

paper · doi:10.48550/arxiv.1405.6010

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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