A numerical method to solve higher-order fractional differential equations

Detalhes bibliográficos
Autor(a) principal: Almeida, Ricardo
Data de Publicação: 2016
Outros Autores: Bastos, Nuno R. O.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/15918
Resumo: In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method.
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spelling A numerical method to solve higher-order fractional differential equationsFractional calculusFractional differential equationsApproximation formulasNumerical methodsIn this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method.Springer2018-07-20T14:00:55Z2016-06-01T00:00:00Z2016-062017-06-01T10:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/15918eng1660-544610.1007/s00009-015-0550-2Almeida, RicardoBastos, Nuno R. O.info: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:RCAAP2024-02-22T11:29:28Zoai:ria.ua.pt:10773/15918Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:51:09.662843Repositório 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 A numerical method to solve higher-order fractional differential equations
title A numerical method to solve higher-order fractional differential equations
spellingShingle A numerical method to solve higher-order fractional differential equations
Almeida, Ricardo
Fractional calculus
Fractional differential equations
Approximation formulas
Numerical methods
title_short A numerical method to solve higher-order fractional differential equations
title_full A numerical method to solve higher-order fractional differential equations
title_fullStr A numerical method to solve higher-order fractional differential equations
title_full_unstemmed A numerical method to solve higher-order fractional differential equations
title_sort A numerical method to solve higher-order fractional differential equations
author Almeida, Ricardo
author_facet Almeida, Ricardo
Bastos, Nuno R. O.
author_role author
author2 Bastos, Nuno R. O.
author2_role author
dc.contributor.author.fl_str_mv Almeida, Ricardo
Bastos, Nuno R. O.
dc.subject.por.fl_str_mv Fractional calculus
Fractional differential equations
Approximation formulas
Numerical methods
topic Fractional calculus
Fractional differential equations
Approximation formulas
Numerical methods
description In this paper, we present a new numerical method to solve fractional differential equations. Given a fractional derivative of arbitrary real order, we present an approximation formula for the fractional operator that involves integer-order derivatives only. With this, we can rewrite FDEs in terms of a classical one and then apply any known technique. With some examples, we show the accuracy of the method.
publishDate 2016
dc.date.none.fl_str_mv 2016-06-01T00:00:00Z
2016-06
2017-06-01T10:00:00Z
2018-07-20T14:00:55Z
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/10773/15918
url http://hdl.handle.net/10773/15918
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1660-5446
10.1007/s00009-015-0550-2
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)
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
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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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