An integral boundary fractional model to the world population growth
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2023 |
| 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/10773/36122 |
Resumo: | We consider a fractional differential equation of order $\alpha$, $\alpha \in (2,3]$, involving a $\psi$-Caputo fractional derivative subject to initial conditions on function and its first derivative and an integral boundary condition that depends on the unknown function. As an application, we investigate the world population growth. We find an order $\alpha$ and a function $\psi$ for which the solution of our fractional model describes given real data better than available models. |
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An integral boundary fractional model to the world population growthψ-Caputo fractional differential equationsIntegral boundary conditionsPopulation growth modelWe consider a fractional differential equation of order $\alpha$, $\alpha \in (2,3]$, involving a $\psi$-Caputo fractional derivative subject to initial conditions on function and its first derivative and an integral boundary condition that depends on the unknown function. As an application, we investigate the world population growth. We find an order $\alpha$ and a function $\psi$ for which the solution of our fractional model describes given real data better than available models.Elsevier2023-01-31T10:23:21Z2023-03-01T00:00:00Z2023-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/36122eng0960-077910.1016/j.chaos.2023.113151Wanassi, Om KalthoumTorres, Delfim F.M.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:RCAAP2024-02-22T12:09:24Zoai:ria.ua.pt:10773/36122Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:06:56.331840Repositório 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 |
An integral boundary fractional model to the world population growth |
| title |
An integral boundary fractional model to the world population growth |
| spellingShingle |
An integral boundary fractional model to the world population growth Wanassi, Om Kalthoum ψ-Caputo fractional differential equations Integral boundary conditions Population growth model |
| title_short |
An integral boundary fractional model to the world population growth |
| title_full |
An integral boundary fractional model to the world population growth |
| title_fullStr |
An integral boundary fractional model to the world population growth |
| title_full_unstemmed |
An integral boundary fractional model to the world population growth |
| title_sort |
An integral boundary fractional model to the world population growth |
| author |
Wanassi, Om Kalthoum |
| author_facet |
Wanassi, Om Kalthoum Torres, Delfim F.M. |
| author_role |
author |
| author2 |
Torres, Delfim F.M. |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Wanassi, Om Kalthoum Torres, Delfim F.M. |
| dc.subject.por.fl_str_mv |
ψ-Caputo fractional differential equations Integral boundary conditions Population growth model |
| topic |
ψ-Caputo fractional differential equations Integral boundary conditions Population growth model |
| description |
We consider a fractional differential equation of order $\alpha$, $\alpha \in (2,3]$, involving a $\psi$-Caputo fractional derivative subject to initial conditions on function and its first derivative and an integral boundary condition that depends on the unknown function. As an application, we investigate the world population growth. We find an order $\alpha$ and a function $\psi$ for which the solution of our fractional model describes given real data better than available models. |
| publishDate |
2023 |
| dc.date.none.fl_str_mv |
2023-01-31T10:23:21Z 2023-03-01T00:00:00Z 2023-03 |
| 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/10773/36122 |
| url |
http://hdl.handle.net/10773/36122 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
0960-0779 10.1016/j.chaos.2023.113151 |
| dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
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openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
Elsevier |
| publisher.none.fl_str_mv |
Elsevier |
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reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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