On fractional derivatives and primitives of periodic functions

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.authorArea Carracedo, Iván Carlos
dc.contributor.authorLosada Rodríguez, Jorge
dc.contributor.authorNieto Roig, Juan José
dc.date.accessioned2020-04-17T18:02:47Z
dc.date.available2020-04-17T18:02:47Z
dc.date.issued2014
dc.description.abstractWe 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 functiongl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe 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.gl
dc.identifier.citationArea, I., Losada, J. and Nieto, J., 2014. On Fractional Derivatives and Primitives of Periodic Functions. Abstract and Applied Analysis, 2014, pp.1-8gl
dc.identifier.doi10.1155/2014/392598
dc.identifier.essn1687-0409
dc.identifier.issn1085-3375
dc.identifier.urihttp://hdl.handle.net/10347/21515
dc.language.isoenggl
dc.publisherHindawigl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN/Plan Nacional de I+D+i 2008-2011/MTM2010-15314/ES/ECUACIONES DIFERENCIALES FUNCIONALES NO LINEALES
dc.relation.publisherversionhttps://doi.org/10.1155/2014/392598gl
dc.rightsCopyright © 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.gl
dc.rights.accessRightsopen accessgl
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/
dc.titleOn fractional derivatives and primitives of periodic functionsgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication1261f0a0-03aa-4a31-9495-4d12b1ece1e9
relation.isAuthorOfPublication85e127ae-7ec7-48e4-bb4a-8eb83882ea26
relation.isAuthorOfPublication.latestForDiscovery1261f0a0-03aa-4a31-9495-4d12b1ece1e9

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