Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications

Detalhes bibliográficos
Autor(a) principal: Moghaddam, Behrouz Parsa
Data de Publicação: 2016
Outros Autores: Machado, J. A. Tenreiro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/9441
Resumo: This paper proposes accurate and robust algorithms for approximating variable order fractional derivatives of arbitrary order. The proposed schemes are based on finite difference approximations.We compare the performance of algorithms by introducing a new formulation of experimental convergence order. Two initial value problems are considered and solved by means of the proposed methods. Numerical results are provided justifying the usefulness of the proposed methods.
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spelling Extended Algorithms for Approximating Variable Order Fractional Derivatives with ApplicationsVariable order fractional calculusFinite difference approximationConvergence orderNumerical methodThis paper proposes accurate and robust algorithms for approximating variable order fractional derivatives of arbitrary order. The proposed schemes are based on finite difference approximations.We compare the performance of algorithms by introducing a new formulation of experimental convergence order. Two initial value problems are considered and solved by means of the proposed methods. Numerical results are provided justifying the usefulness of the proposed methods.Springer VerlagRepositório Científico do Instituto Politécnico do PortoMoghaddam, Behrouz ParsaMachado, J. A. Tenreiro20162117-12-01T00:00:00Z2016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9441eng10.1007/s10915-016-0343-1metadata 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:RCAAP2023-03-13T12:50:50Zoai:recipp.ipp.pt:10400.22/9441Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:30:03.186091Repositório 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 Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
title Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
spellingShingle Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
Moghaddam, Behrouz Parsa
Variable order fractional calculus
Finite difference approximation
Convergence order
Numerical method
title_short Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
title_full Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
title_fullStr Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
title_full_unstemmed Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
title_sort Extended Algorithms for Approximating Variable Order Fractional Derivatives with Applications
author Moghaddam, Behrouz Parsa
author_facet Moghaddam, Behrouz Parsa
Machado, J. A. Tenreiro
author_role author
author2 Machado, J. A. Tenreiro
author2_role author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Moghaddam, Behrouz Parsa
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Variable order fractional calculus
Finite difference approximation
Convergence order
Numerical method
topic Variable order fractional calculus
Finite difference approximation
Convergence order
Numerical method
description This paper proposes accurate and robust algorithms for approximating variable order fractional derivatives of arbitrary order. The proposed schemes are based on finite difference approximations.We compare the performance of algorithms by introducing a new formulation of experimental convergence order. Two initial value problems are considered and solved by means of the proposed methods. Numerical results are provided justifying the usefulness of the proposed methods.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
2117-12-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/9441
url http://hdl.handle.net/10400.22/9441
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1007/s10915-016-0343-1
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv Springer Verlag
publisher.none.fl_str_mv Springer Verlag
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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