Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability

Detalhes bibliográficos
Autor(a) principal: Agarwal, Ravi
Data de Publicação: 2021
Outros Autores: Almeida, Ricardo, Hristova, Snezhana, O’Regan, Donal
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/32649
Resumo: Nonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the general case of delay, depending on both the time and the state variable. The case when the lower limit of the Caputo fractional derivative is fixed at the initial time, and the case when the lower limit of the fractional derivative is changed at the end of each interval of action of the impulse are studied. Practical stability properties, based on the modified Razumikhin method are investigated. Several examples are given in this paper to illustrate the results.
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spelling Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stabilityNon-instantaneous impulsesCaputo fractional differential equationsPractical stabilityNonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the general case of delay, depending on both the time and the state variable. The case when the lower limit of the Caputo fractional derivative is fixed at the initial time, and the case when the lower limit of the fractional derivative is changed at the end of each interval of action of the impulse are studied. Practical stability properties, based on the modified Razumikhin method are investigated. Several examples are given in this paper to illustrate the results.Springer2021-11-24T11:43:20Z2021-01-01T00:00:00Z2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/32649eng1572-908710.1007/s10473-021-0518-1Agarwal, RaviAlmeida, RicardoHristova, SnezhanaO’Regan, Donalinfo: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:RCAAP2024-02-22T12:02:42Zoai:ria.ua.pt:10773/32649Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:10.307152Repositório 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 Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
title Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
spellingShingle Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
Agarwal, Ravi
Non-instantaneous impulses
Caputo fractional differential equations
Practical stability
title_short Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
title_full Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
title_fullStr Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
title_full_unstemmed Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
title_sort Non-instantaneous impulsive fractional differential equations with state dependent delay and practical stability
author Agarwal, Ravi
author_facet Agarwal, Ravi
Almeida, Ricardo
Hristova, Snezhana
O’Regan, Donal
author_role author
author2 Almeida, Ricardo
Hristova, Snezhana
O’Regan, Donal
author2_role author
author
author
dc.contributor.author.fl_str_mv Agarwal, Ravi
Almeida, Ricardo
Hristova, Snezhana
O’Regan, Donal
dc.subject.por.fl_str_mv Non-instantaneous impulses
Caputo fractional differential equations
Practical stability
topic Non-instantaneous impulses
Caputo fractional differential equations
Practical stability
description Nonlinear delay Caputo fractional differential equations with non-instantaneous impulses are studied and we consider the general case of delay, depending on both the time and the state variable. The case when the lower limit of the Caputo fractional derivative is fixed at the initial time, and the case when the lower limit of the fractional derivative is changed at the end of each interval of action of the impulse are studied. Practical stability properties, based on the modified Razumikhin method are investigated. Several examples are given in this paper to illustrate the results.
publishDate 2021
dc.date.none.fl_str_mv 2021-11-24T11:43:20Z
2021-01-01T00:00:00Z
2021
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/32649
url http://hdl.handle.net/10773/32649
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1572-9087
10.1007/s10473-021-0518-1
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 Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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