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Approximating fractional derivatives through the generalized mean

dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorGalhano, Alexandra
dc.contributor.authorOliveira, Anabela
dc.contributor.authorTar, József K.
dc.date.accessioned2014-04-04T11:21:33Z
dc.date.available2014-04-04T11:21:33Z
dc.date.issued2009
dc.description.abstractThis paper addresses the calculation of fractional order expressions through rational fractions. The article starts by analyzing the techniques adopted in the continuous to discrete time conversion. The problem is re-evaluated in an optimization perspective by tacking advantage of the degree of freedom provided by the generalized mean formula. The results demonstrate the superior performance of the new algorithm.por
dc.identifier.doi10.1016/j.cnsns.2009.03.004pt_PT
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/10400.22/4309
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsevierpor
dc.relation.ispartofseriesCommunications in Nonlinear Science and Numerical Simulation; Vol. 14, Issue 11
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S1007570409001397por
dc.subjectFractional derivativespor
dc.subjectFractional calculuspor
dc.subjectAveragepor
dc.subjectGeneralized meanpor
dc.titleApproximating fractional derivatives through the generalized meanpor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage3730por
oaire.citation.issueIssue 11por
oaire.citation.startPage3723por
oaire.citation.titleCommunications in Nonlinear Science and Numerical Simulationpor
oaire.citation.volumeVol. 14por
person.familyNameTenreiro Machado
person.familyNameGalhano
person.givenNameJ. A.
person.givenNameAlexandra
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.orcid0000-0001-8262-1369
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
person.identifier.scopus-author-id6603868968
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublicatione3969dd5-127d-4759-8008-e057e71a1baa
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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