Area Carracedo, Iván CarlosLosada Rodríguez, JorgeNieto Roig, Juan José2020-04-172020-04-172014Area, I., Losada, J. and Nieto, J., 2014. On Fractional Derivatives and Primitives of Periodic Functions. Abstract and Applied Analysis, 2014, pp.1-81085-3375http://hdl.handle.net/10347/21515We prove that the fractional derivative or the fractional primitive of a -periodic function cannot be a 𝑇-periodic function, for any period 𝑇, with the exception of the zero functionengCopyright © 2014 I. Area et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.https://creativecommons.org/licenses/by/3.0/On fractional derivatives and primitives of periodic functionsjournal article10.1155/2014/3925981687-0409open access