On a Fractional Oscillator Equation with Natural Boundary Conditions

Detalhes bibliográficos
Autor(a) principal: Guezane-Lakoud, Assia
Data de Publicação: 2017
Outros Autores: Khaldi, Rabah, Torres, Delfim F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/21364
Resumo: We prove existence of solutions for a nonlinear fractional oscillator equation with both left Riemann–Liouville and right Caputo fractional derivatives subject to natural boundary conditions. The proof is based on a transformation of the problem into an equivalent lower order fractional boundary value problem followed by the use of an upper and lower solutions method. To succeed with such approach, we first prove a result on the monotonicity of the right Caputo derivative.
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spelling On a Fractional Oscillator Equation with Natural Boundary ConditionsBoundary value problemsFractional derivativesUpper and lower solutions methodExistence of solutionsIntegral equationsWe prove existence of solutions for a nonlinear fractional oscillator equation with both left Riemann–Liouville and right Caputo fractional derivatives subject to natural boundary conditions. The proof is based on a transformation of the problem into an equivalent lower order fractional boundary value problem followed by the use of an upper and lower solutions method. To succeed with such approach, we first prove a result on the monotonicity of the right Caputo derivative.Natural Science Publishing2018-01-08T15:13:31Z2017-01-01T00:00:00Z2017info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/21364eng2356-933610.18576/pfda/030302Guezane-Lakoud, AssiaKhaldi, RabahTorres, 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:RCAAP2024-02-22T11:42:07Zoai:ria.ua.pt:10773/21364Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:55:54.861291Repositório 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 On a Fractional Oscillator Equation with Natural Boundary Conditions
title On a Fractional Oscillator Equation with Natural Boundary Conditions
spellingShingle On a Fractional Oscillator Equation with Natural Boundary Conditions
Guezane-Lakoud, Assia
Boundary value problems
Fractional derivatives
Upper and lower solutions method
Existence of solutions
Integral equations
title_short On a Fractional Oscillator Equation with Natural Boundary Conditions
title_full On a Fractional Oscillator Equation with Natural Boundary Conditions
title_fullStr On a Fractional Oscillator Equation with Natural Boundary Conditions
title_full_unstemmed On a Fractional Oscillator Equation with Natural Boundary Conditions
title_sort On a Fractional Oscillator Equation with Natural Boundary Conditions
author Guezane-Lakoud, Assia
author_facet Guezane-Lakoud, Assia
Khaldi, Rabah
Torres, Delfim F. M.
author_role author
author2 Khaldi, Rabah
Torres, Delfim F. M.
author2_role author
author
dc.contributor.author.fl_str_mv Guezane-Lakoud, Assia
Khaldi, Rabah
Torres, Delfim F. M.
dc.subject.por.fl_str_mv Boundary value problems
Fractional derivatives
Upper and lower solutions method
Existence of solutions
Integral equations
topic Boundary value problems
Fractional derivatives
Upper and lower solutions method
Existence of solutions
Integral equations
description We prove existence of solutions for a nonlinear fractional oscillator equation with both left Riemann–Liouville and right Caputo fractional derivatives subject to natural boundary conditions. The proof is based on a transformation of the problem into an equivalent lower order fractional boundary value problem followed by the use of an upper and lower solutions method. To succeed with such approach, we first prove a result on the monotonicity of the right Caputo derivative.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01T00:00:00Z
2017
2018-01-08T15:13:31Z
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/10773/21364
url http://hdl.handle.net/10773/21364
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2356-9336
10.18576/pfda/030302
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 Natural Science Publishing
publisher.none.fl_str_mv Natural Science Publishing
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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