The asymptotic behaviour of fractional lattice systems with variable delay

The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time delays is investigated. The existence of a global attracting set is establis...

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Detalles Bibliográficos
Autores: Liu, Linfang, Caraballo Garrido, Tomás, Kloeden, Peter E.
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/88958
Acceso en línea:https://hdl.handle.net/11441/88958
https://doi.org/10.1515/fca-2019-0038
Access Level:acceso abierto
Palabra clave:Fractional substantial derivative
Fractional lattice systems
Variable delay
Leray-Schauder theorem
Global attracting sets
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spelling The asymptotic behaviour of fractional lattice systems with variable delayLiu, LinfangCaraballo Garrido, TomásKloeden, Peter E.Fractional substantial derivativeFractional lattice systemsVariable delayLeray-Schauder theoremGlobal attracting setsThe existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time delays is investigated. The existence of a global attracting set is established. It is shown to be a singleton set under a certain condition on the Lipschitz constant.De GruyterEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/88958https://doi.org/10.1515/fca-2019-0038reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésFractional Calculus and Applied Analysis, 22 (3), 681-698.https://www.degruyter.com/downloadpdf/j/fca.2019.22.issue-3/fca-2019-0038/fca-2019-0038.pdfinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/889582026-06-17T12:51:07Z
dc.title.none.fl_str_mv The asymptotic behaviour of fractional lattice systems with variable delay
title The asymptotic behaviour of fractional lattice systems with variable delay
spellingShingle The asymptotic behaviour of fractional lattice systems with variable delay
Liu, Linfang
Fractional substantial derivative
Fractional lattice systems
Variable delay
Leray-Schauder theorem
Global attracting sets
title_short The asymptotic behaviour of fractional lattice systems with variable delay
title_full The asymptotic behaviour of fractional lattice systems with variable delay
title_fullStr The asymptotic behaviour of fractional lattice systems with variable delay
title_full_unstemmed The asymptotic behaviour of fractional lattice systems with variable delay
title_sort The asymptotic behaviour of fractional lattice systems with variable delay
dc.creator.none.fl_str_mv Liu, Linfang
Caraballo Garrido, Tomás
Kloeden, Peter E.
author Liu, Linfang
author_facet Liu, Linfang
Caraballo Garrido, Tomás
Kloeden, Peter E.
author_role author
author2 Caraballo Garrido, Tomás
Kloeden, Peter E.
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
dc.subject.none.fl_str_mv Fractional substantial derivative
Fractional lattice systems
Variable delay
Leray-Schauder theorem
Global attracting sets
topic Fractional substantial derivative
Fractional lattice systems
Variable delay
Leray-Schauder theorem
Global attracting sets
description The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time delays is investigated. The existence of a global attracting set is established. It is shown to be a singleton set under a certain condition on the Lipschitz constant.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/88958
https://doi.org/10.1515/fca-2019-0038
url https://hdl.handle.net/11441/88958
https://doi.org/10.1515/fca-2019-0038
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Fractional Calculus and Applied Analysis, 22 (3), 681-698.
https://www.degruyter.com/downloadpdf/j/fca.2019.22.issue-3/fca-2019-0038/fca-2019-0038.pdf
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv De Gruyter
publisher.none.fl_str_mv De Gruyter
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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