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arXiv · 1405.6010

On fractional derivatives and primitives of periodic functions

I. Area·J. Losada·J. J. Nieto
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Abstract

In this paper we prove that the fractional derivative or the fractional primitive of a $T$-periodic function cannot be a $\tilde{T}$-periodic function, for any period $\tilde{T}$, with the exception of the zero function.

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I. Area, J. Losada, J. J. Nieto. 2014-05-23. On fractional derivatives and primitives of periodic functions. https://arxiv.org/abs/1405.6010

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