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Rhapsody in Fractional

dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorLopes, António
dc.contributor.authorDuarte, Fernando
dc.contributor.authorOrtigueira, Manuel
dc.contributor.authorRato, Raul
dc.date.accessioned2015-11-19T10:49:55Z
dc.date.available2015-11-19T10:49:55Z
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.pt_PT
dc.identifier.doi10.2478/s13540-014-0206-0pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.22/6927
dc.language.isoengpt_PT
dc.publisherDe Gruyterpt_PT
dc.relation.ispartofseriesFractional Calculus and Applied Analysis;Vol. 17, Issue 4
dc.relation.publisherversionhttp://www.degruyter.com/view/j/fca.2014.17.issue-4/s13540-014-0206-0/s13540-014-0206-0.xmlpt_PT
dc.subjectPositional number systemspt_PT
dc.subjectFractional sumspt_PT
dc.subjectMatrix powerpt_PT
dc.subjectMatrix rootpt_PT
dc.subjectTolerant computingpt_PT
dc.subjectNegative probabilitypt_PT
dc.subjectFractional delaypt_PT
dc.subjectDifference equationspt_PT
dc.subjectFractional Fourier transformpt_PT
dc.titleRhapsody in Fractionalpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1214pt_PT
oaire.citation.startPage1188pt_PT
oaire.citation.titleFractional Calculus and Applied Analysispt_PT
oaire.citation.volume17pt_PT
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.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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