A fractional Malthusian growth model with variable order using an optimization approach

Detalhes bibliográficos
Autor(a) principal: Almeida, Ricardo
Data de Publicação: 2018
Outros Autores: Bastos, Nuno R. O., Monteiro, M. Teresa T.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/60585
Resumo: The objective is to study the population's growth with a fractional differential equation. The order of the fractional derivative is a function depending on time and the goal is to determine the fractional order function that better fits the given data. The model is than tested to describe the world population growth and of some countries. All the numerical experiments were done in MATLAB, using the routines lsqcurvefit, fminunc and spline.
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spelling A fractional Malthusian growth model with variable order using an optimization approachFractional calculusFractional differential equationLeast squaresThe objective is to study the population's growth with a fractional differential equation. The order of the fractional derivative is a function depending on time and the goal is to determine the fractional order function that better fits the given data. The model is than tested to describe the world population growth and of some countries. All the numerical experiments were done in MATLAB, using the routines lsqcurvefit, fminunc and spline.The first and second authors were supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCTFundação para a Ciência e a Tecnologia), within project UID/MAT/04106/2013; third author by the ALGORITMI R&D Center and project PEst-UID/CEC/00319/2013.info:eu-repo/semantics/publishedVersionInternational Academic PressUniversidade do MinhoAlmeida, RicardoBastos, Nuno R. O.Monteiro, M. Teresa T.20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/60585eng2311-004X2310-507010.19139/soic.v6i1.465info: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:RCAAP2023-07-21T12:45:22Zoai:repositorium.sdum.uminho.pt:1822/60585Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:43:10.071249Repositório 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 fractional Malthusian growth model with variable order using an optimization approach
title A fractional Malthusian growth model with variable order using an optimization approach
spellingShingle A fractional Malthusian growth model with variable order using an optimization approach
Almeida, Ricardo
Fractional calculus
Fractional differential equation
Least squares
title_short A fractional Malthusian growth model with variable order using an optimization approach
title_full A fractional Malthusian growth model with variable order using an optimization approach
title_fullStr A fractional Malthusian growth model with variable order using an optimization approach
title_full_unstemmed A fractional Malthusian growth model with variable order using an optimization approach
title_sort A fractional Malthusian growth model with variable order using an optimization approach
author Almeida, Ricardo
author_facet Almeida, Ricardo
Bastos, Nuno R. O.
Monteiro, M. Teresa T.
author_role author
author2 Bastos, Nuno R. O.
Monteiro, M. Teresa T.
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Almeida, Ricardo
Bastos, Nuno R. O.
Monteiro, M. Teresa T.
dc.subject.por.fl_str_mv Fractional calculus
Fractional differential equation
Least squares
topic Fractional calculus
Fractional differential equation
Least squares
description The objective is to study the population's growth with a fractional differential equation. The order of the fractional derivative is a function depending on time and the goal is to determine the fractional order function that better fits the given data. The model is than tested to describe the world population growth and of some countries. All the numerical experiments were done in MATLAB, using the routines lsqcurvefit, fminunc and spline.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01T00:00:00Z
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/1822/60585
url http://hdl.handle.net/1822/60585
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2311-004X
2310-5070
10.19139/soic.v6i1.465
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 International Academic Press
publisher.none.fl_str_mv International Academic Press
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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