Numerical calculation of fractional derivatives of non-smooth data

Bibliographic Details
Main Author: Tenreiro Machado, J. A.
Publication Date: 2008
Other Authors: Galhano, Alexandra
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.22/13386
Summary: This paper addresses the calculation of fractional 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 it is established a hierarchical GA composed by a series of two GAs, each one with having a distinct fitness function.
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spelling Numerical calculation of fractional derivatives of non-smooth dataFractional calculusNumerical differentiationGenetic algorithmsThis paper addresses the calculation of fractional 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 it is established a hierarchical GA composed by a series of two GAs, each one with having a distinct fitness function.REPOSITÓRIO P.PORTOTenreiro Machado, J. A.Galhano, Alexandra2019-04-04T11:05:04Z2008-062008-06-01T00:00:00Zconference objectinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10400.22/13386enginfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-02T03:08:10Zoai:recipp.ipp.pt:10400.22/13386Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:43:43.811436Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Numerical calculation of fractional derivatives of non-smooth data
title Numerical calculation of fractional derivatives of non-smooth data
spellingShingle Numerical calculation of fractional derivatives of non-smooth data
Tenreiro Machado, J. A.
Fractional calculus
Numerical differentiation
Genetic algorithms
title_short Numerical calculation of fractional derivatives of non-smooth data
title_full Numerical calculation of fractional derivatives of non-smooth data
title_fullStr Numerical calculation of fractional derivatives of non-smooth data
title_full_unstemmed Numerical calculation of fractional derivatives of non-smooth data
title_sort Numerical calculation of fractional derivatives of non-smooth data
author Tenreiro Machado, J. A.
author_facet Tenreiro Machado, J. A.
Galhano, Alexandra
author_role author
author2 Galhano, Alexandra
author2_role author
dc.contributor.none.fl_str_mv REPOSITÓRIO P.PORTO
dc.contributor.author.fl_str_mv Tenreiro Machado, J. A.
Galhano, Alexandra
dc.subject.por.fl_str_mv Fractional calculus
Numerical differentiation
Genetic algorithms
topic Fractional calculus
Numerical differentiation
Genetic algorithms
description This paper addresses the calculation of fractional 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 it is established a hierarchical GA composed by a series of two GAs, each one with having a distinct fitness function.
publishDate 2008
dc.date.none.fl_str_mv 2008-06
2008-06-01T00:00:00Z
2019-04-04T11:05:04Z
dc.type.driver.fl_str_mv conference object
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/13386
url http://hdl.handle.net/10400.22/13386
dc.language.iso.fl_str_mv eng
language eng
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.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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