An Operational Approach to Fractional Scale-Invariant Linear Systems

Detalhes bibliográficos
Autor(a) principal: Bengochea, Gabriel
Data de Publicação: 2023
Outros Autores: Ortigueira, Manuel Duarte
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10362/159683
Resumo: Publisher Copyright: © 2023 by the authors.
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spelling An Operational Approach to Fractional Scale-Invariant Linear Systemsfractional scale derivativefractional scale-invarianthadamard derivativeMellin transformoperational calculusstretching derivativeAnalysisStatistical and Nonlinear PhysicsStatistics and ProbabilityPublisher Copyright: © 2023 by the authors.The 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.CTS - Centro de Tecnologia e SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasRUNBengochea, GabrielOrtigueira, Manuel Duarte2023-11-07T22:09:33Z2023-07-022023-07-02T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article21application/pdfhttp://hdl.handle.net/10362/159683eng2504-3110PURE: 75598028https://doi.org/10.3390/fractalfract7070524info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-03-11T05:42:07Zoai:run.unl.pt:10362/159683Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:57:39.386393Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv An Operational Approach to Fractional Scale-Invariant Linear Systems
title An Operational Approach to Fractional Scale-Invariant Linear Systems
spellingShingle An Operational Approach to Fractional Scale-Invariant Linear Systems
Bengochea, Gabriel
fractional scale derivative
fractional scale-invariant
hadamard derivative
Mellin transform
operational calculus
stretching derivative
Analysis
Statistical and Nonlinear Physics
Statistics and Probability
title_short An Operational Approach to Fractional Scale-Invariant Linear Systems
title_full An Operational Approach to Fractional Scale-Invariant Linear Systems
title_fullStr An Operational Approach to Fractional Scale-Invariant Linear Systems
title_full_unstemmed An Operational Approach to Fractional Scale-Invariant Linear Systems
title_sort An Operational Approach to Fractional Scale-Invariant Linear Systems
author Bengochea, Gabriel
author_facet Bengochea, Gabriel
Ortigueira, Manuel Duarte
author_role author
author2 Ortigueira, Manuel Duarte
author2_role author
dc.contributor.none.fl_str_mv CTS - Centro de Tecnologia e Sistemas
UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias
RUN
dc.contributor.author.fl_str_mv Bengochea, Gabriel
Ortigueira, Manuel Duarte
dc.subject.por.fl_str_mv fractional scale derivative
fractional scale-invariant
hadamard derivative
Mellin transform
operational calculus
stretching derivative
Analysis
Statistical and Nonlinear Physics
Statistics and Probability
topic fractional scale derivative
fractional scale-invariant
hadamard derivative
Mellin transform
operational calculus
stretching derivative
Analysis
Statistical and Nonlinear Physics
Statistics and Probability
description Publisher Copyright: © 2023 by the authors.
publishDate 2023
dc.date.none.fl_str_mv 2023-11-07T22:09:33Z
2023-07-02
2023-07-02T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10362/159683
url http://hdl.handle.net/10362/159683
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2504-3110
PURE: 75598028
https://doi.org/10.3390/fractalfract7070524
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 21
application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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