Variable-Order Fractional Scale Calculus
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10362/163982 |
Resumo: | Publisher Copyright: © 2023 by the authors. |
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Variable-Order Fractional Scale CalculusHadamard derivativelogarithmic seriesscale derivativevariable-order derivativeComputer Science (miscellaneous)Mathematics(all)Engineering (miscellaneous)Publisher Copyright: © 2023 by the authors.General variable-order fractional scale derivatives are introduced and studied. Both the stretching and the shrinking cases are considered for definitions of the derivatives of the GL type and of the Hadamard type. Their properties are deduced and discussed. Fractional variable-order systems of autoregressive–moving-average type are introduced and exemplified. The corresponding transfer functions are obtained and used to find the corresponding impulse responses.CTS - Centro de Tecnologia e SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasRUNValério, DuarteOrtigueira, Manuel D.2024-02-22T23:53:03Z2023-11-042023-11-04T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article13application/pdfhttp://hdl.handle.net/10362/163982eng2227-7390PURE: 83891127https://doi.org/10.3390/math11214549info: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:RCAAP2024-03-11T05:50:01Zoai:run.unl.pt:10362/163982Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:59:58.475657Repositório 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 |
Variable-Order Fractional Scale Calculus |
title |
Variable-Order Fractional Scale Calculus |
spellingShingle |
Variable-Order Fractional Scale Calculus Valério, Duarte Hadamard derivative logarithmic series scale derivative variable-order derivative Computer Science (miscellaneous) Mathematics(all) Engineering (miscellaneous) |
title_short |
Variable-Order Fractional Scale Calculus |
title_full |
Variable-Order Fractional Scale Calculus |
title_fullStr |
Variable-Order Fractional Scale Calculus |
title_full_unstemmed |
Variable-Order Fractional Scale Calculus |
title_sort |
Variable-Order Fractional Scale Calculus |
author |
Valério, Duarte |
author_facet |
Valério, Duarte Ortigueira, Manuel D. |
author_role |
author |
author2 |
Ortigueira, Manuel D. |
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 |
Valério, Duarte Ortigueira, Manuel D. |
dc.subject.por.fl_str_mv |
Hadamard derivative logarithmic series scale derivative variable-order derivative Computer Science (miscellaneous) Mathematics(all) Engineering (miscellaneous) |
topic |
Hadamard derivative logarithmic series scale derivative variable-order derivative Computer Science (miscellaneous) Mathematics(all) Engineering (miscellaneous) |
description |
Publisher Copyright: © 2023 by the authors. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-11-04 2023-11-04T00:00:00Z 2024-02-22T23:53:03Z |
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/10362/163982 |
url |
http://hdl.handle.net/10362/163982 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2227-7390 PURE: 83891127 https://doi.org/10.3390/math11214549 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
13 application/pdf |
dc.source.none.fl_str_mv |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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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