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Fractional Calculus of Piecewise Continuous Functions

2025-01-24Artigo científico Acesso aberto
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dc.contributor.authorOrtigueira, Manuel Duarte
dc.contributor.institutionCTS - Centro de Tecnologia e Sistemas
dc.contributor.institutionUNINOVA-Instituto de Desenvolvimento de Novas Tecnologias
dc.contributor.pblMDPI - Multidisciplinary Digital Publishing Institute
dc.date.accessioned2025-07-04T21:18:25Z
dc.date.available2025-07-04T21:18:25Z
dc.date.issued2025-01-24
dc.descriptionFunding Information: The author was partially funded by National Funds through the Foundation for Science and Technology of Portugal, under projects UIDB/00066/2020. Publisher Copyright: © 2025 by the author.
dc.description.abstractThe fractional derivative computation of piecewise continuous functions is treated with generality. It is shown why some applications give incorrect results and why Caputo derivative give strange results. Some examples are described.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent16
dc.format.extent408944
dc.identifier.doi10.3390/fractalfract9020075
dc.identifier.issn2504-3110
dc.identifier.otherPURE: 121003746
dc.identifier.otherPURE UUID: a9c7247c-ca82-43eb-97d2-1a81fb6fd00f
dc.identifier.otherScopus: 85218883314
dc.identifier.otherWOS: 001430851600001
dc.identifier.otherORCID: /0000-0003-4270-3284/work/187323959
dc.identifier.urihttp://hdl.handle.net/10362/184842
dc.identifier.urlhttps://www.scopus.com/pages/publications/85218883314
dc.identifier.urlhttps://www.webofscience.com/wos/woscc/full-record/WOS:001430851600001
dc.language.isoeng
dc.peerreviewedyes
dc.relationinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00066%2F2020/PT
dc.subjectCaputo derivative
dc.subjectRiemann-Liouville derivative
dc.subjectPiecewise functions
dc.subjectLiouville derivative
dc.subjectAnalysis
dc.subjectStatistical and Nonlinear Physics
dc.subjectStatistics and Probability
dc.titleFractional Calculus of Piecewise Continuous Functionsen
dc.typejournal article
degois.publication.firstPage1
degois.publication.issue2
degois.publication.lastPage16
degois.publication.titleFractal and Fractional
degois.publication.volume9
dspace.entity.typePublication
oaire.awardNumberUIDB/00066/2020
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/Concurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00066%2F2020/PT
oaire.fundingStreamConcurso de avaliação no âmbito do Programa Plurianual de Financiamento de Unidades de I&D (2017/2018) - Financiamento Base
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccess
relation.isProjectOfPublication649c3ac0-6bed-4cbf-8f96-782c97c47008
relation.isProjectOfPublication.latestForDiscovery649c3ac0-6bed-4cbf-8f96-782c97c47008

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