A New Look at the Initial Condition Problem

Detalhes bibliográficos
Autor(a) principal: Ortigueira, Manuel D.
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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spelling 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 reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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