Unexpected behavior of Caputo fractional derivative

Detalhes bibliográficos
Autor(a) principal: Kuroda, Lucas Kenjy Bazaglia [UNESP]
Data de Publicação: 2017
Outros Autores: Gomes, Arianne Vellasco [UNESP], Tavoni, Robinson [UNESP], de Arruda Mancera, Paulo Fernando [UNESP], Varalta, Najla [UNESP], de Figueiredo Camargo, Rubens [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s40314-015-0301-9
http://hdl.handle.net/11449/175076
Resumo: This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian growth, an unexpected behavior of the Caputo fractional derivative is discussed. The difference between the rate of variation and the order of the Caputo fractional derivative is explained.
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spelling Unexpected behavior of Caputo fractional derivativeCaputo fractional derivativeFractional calculusFractional harmonic oscillatorFractional logistic equationFractional modelingThis paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian growth, an unexpected behavior of the Caputo fractional derivative is discussed. The difference between the rate of variation and the order of the Caputo fractional derivative is explained.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Departamento de Bioestatística Instituto de Biociências UNESP, Distrito de Rubião JuniorFaculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Bairro Vargem LimpaDepartamento de Matemática Faculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Bairro Vargem LimpaDepartamento de Bioestatística Instituto de Biociências UNESP, Distrito de Rubião JuniorFaculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Bairro Vargem LimpaDepartamento de Matemática Faculdade de Ciências UNESP, Av. Eng. Luiz Edmundo Carrijo Coube, 14-01, Bairro Vargem LimpaFAPESP: 2013/08133-0Universidade Estadual Paulista (Unesp)Kuroda, Lucas Kenjy Bazaglia [UNESP]Gomes, Arianne Vellasco [UNESP]Tavoni, Robinson [UNESP]de Arruda Mancera, Paulo Fernando [UNESP]Varalta, Najla [UNESP]de Figueiredo Camargo, Rubens [UNESP]2018-12-11T17:14:07Z2018-12-11T17:14:07Z2017-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1173-1183application/pdfhttp://dx.doi.org/10.1007/s40314-015-0301-9Computational and Applied Mathematics, v. 36, n. 3, p. 1173-1183, 2017.1807-03020101-8205http://hdl.handle.net/11449/17507610.1007/s40314-015-0301-92-s2.0-850280070602-s2.0-85028007060.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengComputational and Applied Mathematics0,272info:eu-repo/semantics/openAccess2023-10-06T06:07:07Zoai:repositorio.unesp.br:11449/175076Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:10:06.626661Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Unexpected behavior of Caputo fractional derivative
title Unexpected behavior of Caputo fractional derivative
spellingShingle Unexpected behavior of Caputo fractional derivative
Kuroda, Lucas Kenjy Bazaglia [UNESP]
Caputo fractional derivative
Fractional calculus
Fractional harmonic oscillator
Fractional logistic equation
Fractional modeling
title_short Unexpected behavior of Caputo fractional derivative
title_full Unexpected behavior of Caputo fractional derivative
title_fullStr Unexpected behavior of Caputo fractional derivative
title_full_unstemmed Unexpected behavior of Caputo fractional derivative
title_sort Unexpected behavior of Caputo fractional derivative
author Kuroda, Lucas Kenjy Bazaglia [UNESP]
author_facet Kuroda, Lucas Kenjy Bazaglia [UNESP]
Gomes, Arianne Vellasco [UNESP]
Tavoni, Robinson [UNESP]
de Arruda Mancera, Paulo Fernando [UNESP]
Varalta, Najla [UNESP]
de Figueiredo Camargo, Rubens [UNESP]
author_role author
author2 Gomes, Arianne Vellasco [UNESP]
Tavoni, Robinson [UNESP]
de Arruda Mancera, Paulo Fernando [UNESP]
Varalta, Najla [UNESP]
de Figueiredo Camargo, Rubens [UNESP]
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Kuroda, Lucas Kenjy Bazaglia [UNESP]
Gomes, Arianne Vellasco [UNESP]
Tavoni, Robinson [UNESP]
de Arruda Mancera, Paulo Fernando [UNESP]
Varalta, Najla [UNESP]
de Figueiredo Camargo, Rubens [UNESP]
dc.subject.por.fl_str_mv Caputo fractional derivative
Fractional calculus
Fractional harmonic oscillator
Fractional logistic equation
Fractional modeling
topic Caputo fractional derivative
Fractional calculus
Fractional harmonic oscillator
Fractional logistic equation
Fractional modeling
description This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian growth, an unexpected behavior of the Caputo fractional derivative is discussed. The difference between the rate of variation and the order of the Caputo fractional derivative is explained.
publishDate 2017
dc.date.none.fl_str_mv 2017-09-01
2018-12-11T17:14:07Z
2018-12-11T17:14:07Z
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://dx.doi.org/10.1007/s40314-015-0301-9
Computational and Applied Mathematics, v. 36, n. 3, p. 1173-1183, 2017.
1807-0302
0101-8205
http://hdl.handle.net/11449/175076
10.1007/s40314-015-0301-9
2-s2.0-85028007060
2-s2.0-85028007060.pdf
url http://dx.doi.org/10.1007/s40314-015-0301-9
http://hdl.handle.net/11449/175076
identifier_str_mv Computational and Applied Mathematics, v. 36, n. 3, p. 1173-1183, 2017.
1807-0302
0101-8205
10.1007/s40314-015-0301-9
2-s2.0-85028007060
2-s2.0-85028007060.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Computational and Applied Mathematics
0,272
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1173-1183
application/pdf
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1808128327028834304

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