On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel

In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is studied. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, the existence of a mild solution of our problem is proved. The main tool to...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Ngoc, Tran Bao, Tuan, Nguyen Huy, Wang, Renhai
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2021
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/116564
Acceso en línea:https://hdl.handle.net/11441/116564
https://doi.org/10.1090/proc/15472
Access Level:acceso abierto
Palabra clave:Riemann-Liouville fractional derivative
Time diffusion equation
well-posedness
regularity estimates
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spelling On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler KernelCaraballo Garrido, TomásNgoc, Tran BaoTuan, Nguyen HuyWang, RenhaiRiemann-Liouville fractional derivativeTime diffusion equationwell-posednessregularity estimatesIn this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is studied. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, the existence of a mild solution of our problem is proved. The main tool to prove our results is the use of some Sobolev embeddings.American Mathematical SocietyEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/116564https://doi.org/10.1090/proc/15472reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésProceedings of the American Mathematical Society, 149 (8), 3317-3334.https://doi.org/10.1090/proc/15472info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1165642026-06-17T12:51:07Z
dc.title.none.fl_str_mv On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
title On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
spellingShingle On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
Caraballo Garrido, Tomás
Riemann-Liouville fractional derivative
Time diffusion equation
well-posedness
regularity estimates
title_short On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
title_full On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
title_fullStr On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
title_full_unstemmed On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
title_sort On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel
dc.creator.none.fl_str_mv Caraballo Garrido, Tomás
Ngoc, Tran Bao
Tuan, Nguyen Huy
Wang, Renhai
author Caraballo Garrido, Tomás
author_facet Caraballo Garrido, Tomás
Ngoc, Tran Bao
Tuan, Nguyen Huy
Wang, Renhai
author_role author
author2 Ngoc, Tran Bao
Tuan, Nguyen Huy
Wang, Renhai
author2_role author
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 Riemann-Liouville fractional derivative
Time diffusion equation
well-posedness
regularity estimates
topic Riemann-Liouville fractional derivative
Time diffusion equation
well-posedness
regularity estimates
description In this paper, a nonlinear time-fractional Volterra equation with nonsingular Mittag-Leffler kernel in Hilbert spaces is studied. By applying the properties of Mittag-Leffler functions and the method of eigenvalue expansion, the existence of a mild solution of our problem is proved. The main tool to prove our results is the use of some Sobolev embeddings.
publishDate 2021
dc.date.none.fl_str_mv 2021
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/11441/116564
https://doi.org/10.1090/proc/15472
url https://hdl.handle.net/11441/116564
https://doi.org/10.1090/proc/15472
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Proceedings of the American Mathematical Society, 149 (8), 3317-3334.
https://doi.org/10.1090/proc/15472
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 American Mathematical Society
publisher.none.fl_str_mv American Mathematical Society
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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score 15,300724

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