An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

Detalhes bibliográficos
Autor(a) principal: Moghaddam, B. Parsa
Data de Publicação: 2016
Outros Autores: Yaghoobi, Sh., Tenreiro Machado, J. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.22/9408
Resumo: This article presents a numerical method based on the Adams–Bashforth–Moulton scheme to solve variable-order fractional delay differential equations (VFDDEs). In these equations, the variable-order (VO) fractional derivatives are described in the Caputo sense. The existence and uniqueness of the solutions are proved under Lipschitz condition. Numerical examples are presented showing the applicability and efficiency of the novel method.
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spelling An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential EquationsVariable-order fractional calculusVariable-order fractional delay differential equationsAdams methodNew iterative methodPredictor–corrector methodThis article presents a numerical method based on the Adams–Bashforth–Moulton scheme to solve variable-order fractional delay differential equations (VFDDEs). In these equations, the variable-order (VO) fractional derivatives are described in the Caputo sense. The existence and uniqueness of the solutions are proved under Lipschitz condition. Numerical examples are presented showing the applicability and efficiency of the novel method.American Society of Mechanical EngineersRepositório Científico do Instituto Politécnico do PortoMoghaddam, B. ParsaYaghoobi, Sh.Tenreiro Machado, J. A.20162117-01-01T00:00:00Z2016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/9408eng10.1115/1.4032574metadata 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:RCAAP2023-03-13T12:50:47Zoai:recipp.ipp.pt:10400.22/9408Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:30:00.743301Repositório 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 An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
title An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
spellingShingle An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
Moghaddam, B. Parsa
Variable-order fractional calculus
Variable-order fractional delay differential equations
Adams method
New iterative method
Predictor–corrector method
title_short An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
title_full An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
title_fullStr An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
title_full_unstemmed An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
title_sort An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
author Moghaddam, B. Parsa
author_facet Moghaddam, B. Parsa
Yaghoobi, Sh.
Tenreiro Machado, J. A.
author_role author
author2 Yaghoobi, Sh.
Tenreiro Machado, J. A.
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Moghaddam, B. Parsa
Yaghoobi, Sh.
Tenreiro Machado, J. A.
dc.subject.por.fl_str_mv Variable-order fractional calculus
Variable-order fractional delay differential equations
Adams method
New iterative method
Predictor–corrector method
topic Variable-order fractional calculus
Variable-order fractional delay differential equations
Adams method
New iterative method
Predictor–corrector method
description This article presents a numerical method based on the Adams–Bashforth–Moulton scheme to solve variable-order fractional delay differential equations (VFDDEs). In these equations, the variable-order (VO) fractional derivatives are described in the Caputo sense. The existence and uniqueness of the solutions are proved under Lipschitz condition. Numerical examples are presented showing the applicability and efficiency of the novel method.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016-01-01T00:00:00Z
2117-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/9408
url http://hdl.handle.net/10400.22/9408
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1115/1.4032574
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Society of Mechanical Engineers
publisher.none.fl_str_mv American Society of Mechanical Engineers
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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