RT Journal Article T1 On fractional derivatives and primitives of periodic functions A1 Area Carracedo, Iván Carlos A1 Losada Rodríguez, Jorge A1 Nieto Roig, Juan José AB We 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 function PB Hindawi SN 1085-3375 YR 2014 FD 2014 LK http://hdl.handle.net/10347/21515 UL http://hdl.handle.net/10347/21515 LA eng NO Area, I., Losada, J. and Nieto, J., 2014. On Fractional Derivatives and Primitives of Periodic Functions. Abstract and Applied Analysis, 2014, pp.1-8 NO The work of I. Area has been partially supported by the Ministerio de Economía y Competitividad of Spain under Grant MTM2012-38794-C02-01, cofinanced by the European Community fund FEDER. J. J. Nieto also acknowledges partial financial support by the Ministerio de Economía y Competitividad of Spain under Grant MTM2010-15314, cofinanced by the European Community fund FEDER. DS Minerva RD 24 abr 2026