Calculation of fractional derivatives of noisy data with genetic algorithms

Detalhes bibliográficos
Autor(a) principal: Machado, J. A. Tenreiro
Data de Publicação: 2009
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/4314
Resumo: This paper addresses the calculation of derivatives of fractional order for non-smooth data. The noise is avoided by adopting an optimization formulation using genetic algorithms (GA). Given the flexibility of the evolutionary schemes, a hierarchical GA composed by a series of two GAs, each one with a distinct fitness function, is established.
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spelling Calculation of fractional derivatives of noisy data with genetic algorithmsFractional derivativesFractional calculusGenetic algorithmsNumerical differentiationThis paper addresses the calculation of derivatives of fractional order for non-smooth data. The noise is avoided by adopting an optimization formulation using genetic algorithms (GA). Given the flexibility of the evolutionary schemes, a hierarchical GA composed by a series of two GAs, each one with a distinct fitness function, is established.SpringerRepositório Científico do Instituto Politécnico do PortoMachado, J. A. Tenreiro2014-04-04T11:35:48Z20092009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4314eng0924-090X10.1007/s11071-008-9436-1info: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:RCAAP2023-03-13T12:44:26Zoai:recipp.ipp.pt:10400.22/4314Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:25:12.752753Repositório 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 Calculation of fractional derivatives of noisy data with genetic algorithms
title Calculation of fractional derivatives of noisy data with genetic algorithms
spellingShingle Calculation of fractional derivatives of noisy data with genetic algorithms
Machado, J. A. Tenreiro
Fractional derivatives
Fractional calculus
Genetic algorithms
Numerical differentiation
title_short Calculation of fractional derivatives of noisy data with genetic algorithms
title_full Calculation of fractional derivatives of noisy data with genetic algorithms
title_fullStr Calculation of fractional derivatives of noisy data with genetic algorithms
title_full_unstemmed Calculation of fractional derivatives of noisy data with genetic algorithms
title_sort Calculation of fractional derivatives of noisy data with genetic algorithms
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
Fractional calculus
Genetic algorithms
Numerical differentiation
topic Fractional derivatives
Fractional calculus
Genetic algorithms
Numerical differentiation
description This paper addresses the calculation of derivatives of fractional order for non-smooth data. The noise is avoided by adopting an optimization formulation using genetic algorithms (GA). Given the flexibility of the evolutionary schemes, a hierarchical GA composed by a series of two GAs, each one with a distinct fitness function, is established.
publishDate 2009
dc.date.none.fl_str_mv 2009
2009-01-01T00:00:00Z
2014-04-04T11:35:48Z
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/10400.22/4314
url http://hdl.handle.net/10400.22/4314
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0924-090X
10.1007/s11071-008-9436-1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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