A New Look at the Initial Condition Problem
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10362/143916 |
Resumo: | Publisher Copyright: © 2022 by the author. Licensee MDPI, Basel, Switzerland. |
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A New Look at the Initial Condition ProblemCaputo derivativeFARMAfractional derivativeinitial conditionslinear systemsRiemann-Liouville derivativeComputer Science (miscellaneous)Mathematics(all)Engineering (miscellaneous)Publisher Copyright: © 2022 by the author. Licensee MDPI, Basel, Switzerland.In this paper, some myths associated to the initial condition problem are studied and demystified. It is shown that the initial conditions provided by the one-sided Laplace transform are not those required for Riemann-Liouville and Caputo derivatives. The problem is studied and solved with generality as well as applied to continuous-time fractional autoregressive-moving average systems.CTS - Centro de Tecnologia e SistemasDEE2010-B2 SistemasUNINOVA-Instituto de Desenvolvimento de Novas TecnologiasDEE - Departamento de Engenharia Electrotécnica e de ComputadoresRUNOrtigueira, Manuel D.2022-09-21T22:36:07Z2022-05-232022-05-23T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article17application/pdfhttp://hdl.handle.net/10362/143916eng2227-7390PURE: 46645107https://doi.org/10.3390/math10101771info: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:RCAAP2024-03-11T05:22:51Zoai:run.unl.pt:10362/143916Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:51:12.760899Repositório 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 |
A New Look at the Initial Condition Problem |
title |
A New Look at the Initial Condition Problem |
spellingShingle |
A New Look at the Initial Condition Problem Ortigueira, Manuel D. Caputo derivative FARMA fractional derivative initial conditions linear systems Riemann-Liouville derivative Computer Science (miscellaneous) Mathematics(all) Engineering (miscellaneous) |
title_short |
A New Look at the Initial Condition Problem |
title_full |
A New Look at the Initial Condition Problem |
title_fullStr |
A New Look at the Initial Condition Problem |
title_full_unstemmed |
A New Look at the Initial Condition Problem |
title_sort |
A New Look at the Initial Condition Problem |
author |
Ortigueira, Manuel D. |
author_facet |
Ortigueira, Manuel D. |
author_role |
author |
dc.contributor.none.fl_str_mv |
CTS - Centro de Tecnologia e Sistemas DEE2010-B2 Sistemas UNINOVA-Instituto de Desenvolvimento de Novas Tecnologias DEE - Departamento de Engenharia Electrotécnica e de Computadores RUN |
dc.contributor.author.fl_str_mv |
Ortigueira, Manuel D. |
dc.subject.por.fl_str_mv |
Caputo derivative FARMA fractional derivative initial conditions linear systems Riemann-Liouville derivative Computer Science (miscellaneous) Mathematics(all) Engineering (miscellaneous) |
topic |
Caputo derivative FARMA fractional derivative initial conditions linear systems Riemann-Liouville derivative Computer Science (miscellaneous) Mathematics(all) Engineering (miscellaneous) |
description |
Publisher Copyright: © 2022 by the author. Licensee MDPI, Basel, Switzerland. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-09-21T22:36:07Z 2022-05-23 2022-05-23T00:00:00Z |
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/10362/143916 |
url |
http://hdl.handle.net/10362/143916 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2227-7390 PURE: 46645107 https://doi.org/10.3390/math10101771 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
17 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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1799138106822098944 |