A new insight into complexity from the local fractional calculus view point: modelling growths of populations

Detalhes bibliográficos
Autor(a) principal: Yang, Xiao-Jun
Data de Publicação: 2015
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/10400.22/8790
Resumo: In this paper, we model the growths of populations by means of local fractional calculus. We formulate the local fractionalrate equation and the local fractional logistic equation. The exact solutions of local fractional rate equation andlocal fractional logistic equation with the Mittag-Leffler function defined on Cantor sets are presented. The obtainedresults illustrate the accuracy and efficiency for modeling the complexity of linear and nonlinear population dynamics (PD).
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spelling A new insight into complexity from the local fractional calculus view point: modelling growths of populationsExact solutionLogistic equationPopulation dynamicsLocal fractional derivativeIn this paper, we model the growths of populations by means of local fractional calculus. We formulate the local fractionalrate equation and the local fractional logistic equation. The exact solutions of local fractional rate equation andlocal fractional logistic equation with the Mittag-Leffler function defined on Cantor sets are presented. The obtainedresults illustrate the accuracy and efficiency for modeling the complexity of linear and nonlinear population dynamics (PD).Wiley Online LibraryRepositório Científico do Instituto Politécnico do PortoYang, Xiao-JunMachado, J. A. Tenreiro2015-11-042115-11-01T00:00:00Z2015-11-04T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/8790eng10.1002/mma.3765info: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:RCAAP2023-03-13T12:48:54Zoai:recipp.ipp.pt:10400.22/8790Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:28:38.260797Repositório 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 new insight into complexity from the local fractional calculus view point: modelling growths of populations
title A new insight into complexity from the local fractional calculus view point: modelling growths of populations
spellingShingle A new insight into complexity from the local fractional calculus view point: modelling growths of populations
Yang, Xiao-Jun
Exact solution
Logistic equation
Population dynamics
Local fractional derivative
title_short A new insight into complexity from the local fractional calculus view point: modelling growths of populations
title_full A new insight into complexity from the local fractional calculus view point: modelling growths of populations
title_fullStr A new insight into complexity from the local fractional calculus view point: modelling growths of populations
title_full_unstemmed A new insight into complexity from the local fractional calculus view point: modelling growths of populations
title_sort A new insight into complexity from the local fractional calculus view point: modelling growths of populations
author Yang, Xiao-Jun
author_facet Yang, Xiao-Jun
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 Yang, Xiao-Jun
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Exact solution
Logistic equation
Population dynamics
Local fractional derivative
topic Exact solution
Logistic equation
Population dynamics
Local fractional derivative
description In this paper, we model the growths of populations by means of local fractional calculus. We formulate the local fractionalrate equation and the local fractional logistic equation. The exact solutions of local fractional rate equation andlocal fractional logistic equation with the Mittag-Leffler function defined on Cantor sets are presented. The obtainedresults illustrate the accuracy and efficiency for modeling the complexity of linear and nonlinear population dynamics (PD).
publishDate 2015
dc.date.none.fl_str_mv 2015-11-04
2015-11-04T00:00:00Z
2115-11-01T00:00:00Z
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/10400.22/8790
url http://hdl.handle.net/10400.22/8790
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1002/mma.3765
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 Wiley Online Library
publisher.none.fl_str_mv Wiley Online Library
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
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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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