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An Operational Approach to Fractional Scale-Invariant Linear Systems

2023-07-02Artigo científico Acesso aberto
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dc.contributor.authorBengochea, Gabriel
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.accessioned2023-11-07T22:09:33Z
dc.date.available2023-11-07T22:09:33Z
dc.date.issued2023-07-02
dc.descriptionPublisher Copyright: © 2023 by the authors.
dc.description.abstractThe fractional scale-invariant systems are introduced and studied, using an operational formalism. It is shown that the impulse and step responses of such systems belong to the vector space generated by some special functions here introduced. For these functions, the fractional scale derivative is a decremental index operator, allowing the construction of an algebraic framework that enables to compute the impulse and step responses of such systems. The effectiveness and accuracy of the method are demonstrated through various numerical simulations.en
dc.description.versionpublishersversion
dc.description.versionpublished
dc.format.extent21
dc.format.extent599649
dc.identifier.doi10.3390/fractalfract7070524
dc.identifier.issn2504-3110
dc.identifier.otherPURE: 75598028
dc.identifier.otherPURE UUID: 1f60c27d-347f-4866-a870-4a881835ef92
dc.identifier.otherScopus: 85165995331
dc.identifier.otherWOS: 001036052700001
dc.identifier.otherORCID: /0000-0003-4270-3284/work/151429119
dc.identifier.urihttp://hdl.handle.net/10362/159683
dc.identifier.urlhttps://www.scopus.com/pages/publications/85165995331
dc.language.isoeng
dc.peerreviewedyes
dc.relationFunding Information: info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00066%2F2020/PT
dc.subjectfractional scale derivative
dc.subjectfractional scale-invariant
dc.subjecthadamard derivative
dc.subjectMellin transform
dc.subjectoperational calculus
dc.subjectstretching derivative
dc.subjectAnalysis
dc.subjectStatistical and Nonlinear Physics
dc.subjectStatistics and Probability
dc.titleAn Operational Approach to Fractional Scale-Invariant Linear Systemsen
dc.typejournal article
degois.publication.issue7
degois.publication.titleFractal and Fractional
degois.publication.volume7
dspace.entity.typePublication
rcaap.rightsopenAccess

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