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Fractional generalization of memristor and higher order elements

dc.contributor.authorMachado, J. A. Tenreiro
dc.date.accessioned2014-02-07T15:16:26Z
dc.date.available2014-02-07T15:16:26Z
dc.date.issued2013
dc.description.abstractFractional calculus generalizes integer order derivatives and integrals. Memristor systems generalize the notion of electrical elements. Both concepts were shown to model important classes of phenomena. This paper goes a step further by embedding both tools in a generalization considering complex-order objects. Two complex operators leading to real-valued results are proposed. The proposed class of models generate a broad universe of elements. Several combinations of values are tested and the corresponding dynamical behavior is analyzed.por
dc.identifier.doi10.1016/j.cnsns.2012.07.014pt_PT
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/10400.22/3804
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherElsevierpor
dc.relation.ispartofseriesCommunications in Nonlinear Science and Numerical Simulation; Vol. 18, Issue 2
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S1007570412003048por
dc.subjectFractional calculuspor
dc.subjectMemristorpor
dc.subjectDevice modelingpor
dc.titleFractional generalization of memristor and higher order elementspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage275por
oaire.citation.issueIssue 2por
oaire.citation.startPage264por
oaire.citation.titleCommunications in Nonlinear Science and Numerical Simulationpor
oaire.citation.volumeVol. 18por
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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