A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2024 |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10773/40599 |
Resumo: | In this paper, a Lyapunov-type inequality is obtained for a class of fractional boundary value problems involving Riemann-Liouville fractional derivative of orders α ∈ (1, 2) and β ∈ (0, α − 1). The study is based on the construction of a Green’s function and the obtaining of its corresponding maximum value. |
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A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivativeFractional differential equationsLyapunov inequalityRiemman-Liouville derivativeGreen’s functionIn this paper, a Lyapunov-type inequality is obtained for a class of fractional boundary value problems involving Riemann-Liouville fractional derivative of orders α ∈ (1, 2) and β ∈ (0, α − 1). The study is based on the construction of a Green’s function and the obtaining of its corresponding maximum value.University of Kragujevac - Faculty of Science2024-02-07T15:06:48Z2024-01-01T00:00:00Z2024-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/40599eng1450-9628Silva, Anabela S.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:RCAAP2024-02-22T12:19:22Zoai:ria.ua.pt:10773/40599Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:10:29.906265Repositório 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 Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative |
| title |
A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative |
| spellingShingle |
A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative Silva, Anabela S. Fractional differential equations Lyapunov inequality Riemman-Liouville derivative Green’s function |
| title_short |
A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative |
| title_full |
A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative |
| title_fullStr |
A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative |
| title_full_unstemmed |
A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative |
| title_sort |
A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative |
| author |
Silva, Anabela S. |
| author_facet |
Silva, Anabela S. |
| author_role |
author |
| dc.contributor.author.fl_str_mv |
Silva, Anabela S. |
| dc.subject.por.fl_str_mv |
Fractional differential equations Lyapunov inequality Riemman-Liouville derivative Green’s function |
| topic |
Fractional differential equations Lyapunov inequality Riemman-Liouville derivative Green’s function |
| description |
In this paper, a Lyapunov-type inequality is obtained for a class of fractional boundary value problems involving Riemann-Liouville fractional derivative of orders α ∈ (1, 2) and β ∈ (0, α − 1). The study is based on the construction of a Green’s function and the obtaining of its corresponding maximum value. |
| publishDate |
2024 |
| dc.date.none.fl_str_mv |
2024-02-07T15:06:48Z 2024-01-01T00:00:00Z 2024-01 |
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info:eu-repo/semantics/publishedVersion |
| dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
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article |
| status_str |
publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/40599 |
| url |
http://hdl.handle.net/10773/40599 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
1450-9628 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
| dc.publisher.none.fl_str_mv |
University of Kragujevac - Faculty of Science |
| publisher.none.fl_str_mv |
University of Kragujevac - Faculty of Science |
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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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