Discrete-Time Fractional Difference Calculus
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10362/158484 |
Resumo: | Publisher Copyright: © 2023 by the author. |
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Discrete-Time Fractional Difference CalculusOrigins, Evolutions, and New FormalismsARFIMAARMAbilateral differencebilineardelta differencenabla differencestretching differencetemperedAnalysisStatistical and Nonlinear PhysicsStatistics and ProbabilityPublisher Copyright: © 2023 by the author.Differences are introduced as outputs of linear systems called differencers, being considered two classes: shift and scale-invariant. Several types are presented, namely: nabla and delta, bilateral, tempered, bilinear, stretching, and shrinking. Both continuous and discrete-time differences are described. ARMA-type systems based on differencers are introduced and exemplified. In passing, the incorrectness of the usual delta difference is shown.CTS - Centro de Tecnologia e SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasRUNOrtigueira, Manuel Duarte2023-09-29T22:22:17Z2023-06-252023-06-25T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article32application/pdfhttp://hdl.handle.net/10362/158484eng2504-3110PURE: 72782471https://doi.org/10.3390/fractalfract7070502info: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:RCAAP2024-03-11T05:40:53Zoai:run.unl.pt:10362/158484Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:57:09.997052Repositório 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 |
Discrete-Time Fractional Difference Calculus Origins, Evolutions, and New Formalisms |
title |
Discrete-Time Fractional Difference Calculus |
spellingShingle |
Discrete-Time Fractional Difference Calculus Ortigueira, Manuel Duarte ARFIMA ARMA bilateral difference bilinear delta difference nabla difference stretching difference tempered Analysis Statistical and Nonlinear Physics Statistics and Probability |
title_short |
Discrete-Time Fractional Difference Calculus |
title_full |
Discrete-Time Fractional Difference Calculus |
title_fullStr |
Discrete-Time Fractional Difference Calculus |
title_full_unstemmed |
Discrete-Time Fractional Difference Calculus |
title_sort |
Discrete-Time Fractional Difference Calculus |
author |
Ortigueira, Manuel Duarte |
author_facet |
Ortigueira, Manuel Duarte |
author_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 |
Ortigueira, Manuel Duarte |
dc.subject.por.fl_str_mv |
ARFIMA ARMA bilateral difference bilinear delta difference nabla difference stretching difference tempered Analysis Statistical and Nonlinear Physics Statistics and Probability |
topic |
ARFIMA ARMA bilateral difference bilinear delta difference nabla difference stretching difference tempered Analysis Statistical and Nonlinear Physics Statistics and Probability |
description |
Publisher Copyright: © 2023 by the author. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-09-29T22:22:17Z 2023-06-25 2023-06-25T00:00:00Z |
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/10362/158484 |
url |
http://hdl.handle.net/10362/158484 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2504-3110 PURE: 72782471 https://doi.org/10.3390/fractalfract7070502 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
32 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) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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