A new insight into complexity from the local fractional calculus view point: modelling growths of populations
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 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 |
repository.mail.fl_str_mv |
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1799131380883390464 |