Delay approximation of fractional integrals

Detalhes bibliográficos
Autor(a) principal: Machado, J. A. Tenreiro
Data de Publicação: 2013
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/5506
Resumo: This paper explores the calculation of fractional integrals by means of the time delay operator. The study starts by reviewing the memory properties of fractional operators and their relationship with time delay. Based on the time response of the Mittag-Leffler function an approximation of fractional integrals consisting of time delayed samples is proposed. The tuning of the approximation is optimized by means of a genetic algorithm. The results demonstrate the feasibility of the new perspective and the limits of their application.
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spelling Delay approximation of fractional integralsFractional derivativesDelayFractional calculusThis paper explores the calculation of fractional integrals by means of the time delay operator. The study starts by reviewing the memory properties of fractional operators and their relationship with time delay. Based on the time response of the Mittag-Leffler function an approximation of fractional integrals consisting of time delayed samples is proposed. The tuning of the approximation is optimized by means of a genetic algorithm. The results demonstrate the feasibility of the new perspective and the limits of their application.WileyRepositório Científico do Instituto Politécnico do PortoMachado, J. A. Tenreiro2015-01-28T17:21:11Z20132013-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/5506eng1561-862510.1002/asjc.583metadata only accessinfo: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:RCAAP2023-03-13T12:45:37Zoai:recipp.ipp.pt:10400.22/5506Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:26:10.390747Repositório 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 Delay approximation of fractional integrals
title Delay approximation of fractional integrals
spellingShingle Delay approximation of fractional integrals
Machado, J. A. Tenreiro
Fractional derivatives
Delay
Fractional calculus
title_short Delay approximation of fractional integrals
title_full Delay approximation of fractional integrals
title_fullStr Delay approximation of fractional integrals
title_full_unstemmed Delay approximation of fractional integrals
title_sort Delay approximation of fractional integrals
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
author_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Fractional derivatives
Delay
Fractional calculus
topic Fractional derivatives
Delay
Fractional calculus
description This paper explores the calculation of fractional integrals by means of the time delay operator. The study starts by reviewing the memory properties of fractional operators and their relationship with time delay. Based on the time response of the Mittag-Leffler function an approximation of fractional integrals consisting of time delayed samples is proposed. The tuning of the approximation is optimized by means of a genetic algorithm. The results demonstrate the feasibility of the new perspective and the limits of their application.
publishDate 2013
dc.date.none.fl_str_mv 2013
2013-01-01T00:00:00Z
2015-01-28T17:21:11Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/5506
url http://hdl.handle.net/10400.22/5506
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1561-8625
10.1002/asjc.583
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
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