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Rhapsody in fractional

dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorLopes, António M.
dc.contributor.authorDuarte, Fernando B.
dc.contributor.authorOrtigueira, Manuel D.
dc.contributor.authorRato, Raul T.
dc.date.accessioned2015-01-28T14:16:19Z
dc.date.available2015-01-28T14:16:19Z
dc.date.issued2014
dc.description.abstractThis paper studies several topics related with the concept of “fractional” that are not directly related with Fractional Calculus, but can help the reader in pursuit new research directions. We introduce the concept of non-integer positional number systems, fractional sums, fractional powers of a square matrix, tolerant computing and FracSets, negative probabilities, fractional delay discrete-time linear systems, and fractional Fourier transform.por
dc.identifier.doi10.2478/s13540-014-0206-0pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/5496
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringerpor
dc.relation.ispartofseriesFractional Calculus and Applied Analysis;Vol. 17, Issue 4
dc.relation.publisherversionhttp://link.springer.com/article/10.2478/s13540-014-0206-0por
dc.subjectPositional number systemspor
dc.subjectFractional sumspor
dc.subjectMatrix powerpor
dc.subjectMatrix rootpor
dc.subjectTolerant computingpor
dc.subjectNegative probabilitypor
dc.subjectFractional delaypor
dc.subjectDifference equationspor
dc.subjectFractional Fourier transformpor
dc.titleRhapsody in fractionalpor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1214por
oaire.citation.startPage1188por
oaire.citation.titleFractional Calculus and Applied Analysispor
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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