Publication:
Note on the generalized conformable derivative

dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Análisis Aplicadoes
dc.contributor.authorFleitas, Alberto
dc.contributor.authorNapoles Valdes, Juan Eduardo
dc.contributor.authorRodríguez García, José Manuel
dc.contributor.authorSigarreta Almira, José María
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2022-07-21T08:54:38Z
dc.date.available2022-07-21T08:54:38Z
dc.date.issued2021-12
dc.description.abstractWe introduce a definition of a generalized conformable derivative of order alfa > 0 (where this parameter does not need to be integer), with which we overcome some deficiencies of known local derivatives, conformable or not. This definition allows us to compute fractional derivatives of functions defined on any open set on the real line (and not just on the positive half- line). Moreover, we extend some classical results to the context of fractional derivatives. Also, we obtain results for the case alfa > 1en
dc.description.sponsorshipThe research of José M. Rodríguez and José M. Sigarreta is supported by a grant from Agencia Estatal de Investigación (PID2019-106433GB-I00 / AEI /10.13039/501100011033), Spain.en
dc.format.extent15
dc.identifier.doihttps://doi.org/10.33044/revuma.1930
dc.identifier.issn0041-6932
dc.identifier.publicationfirstpage443
dc.identifier.publicationissue2
dc.identifier.publicationlastpage457
dc.identifier.publicationtitleRevista de la Union Matematica Argentinaes
dc.identifier.publicationvolume62
dc.identifier.urihttps://hdl.handle.net/10016/35518
dc.identifier.uxxiAR/0000030822
dc.language.isoengen
dc.publisherUnión Matemática Argentinaes
dc.relation.projectIDGobierno de España. PID2019-106433GB-I00es
dc.rights© The Author(s)en
dc.rightsAtribución 3.0 España
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/
dc.subject.ecienciaMatemáticases
dc.subject.otherFractional Derivativesen
dc.subject.otherFractional Calculusen
dc.subject.otherApplicationsen
dc.titleNote on the generalized conformable derivativeen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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