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

Caraballo Garrido, Tomás; Ngoc, Tran Bao; Tuan, Nguyen Huy; Wang, Renhai

doi:10.1090/proc/15472

Artículo

dc.creator	Caraballo Garrido, Tomás	es
dc.creator	Ngoc, Tran Bao	es
dc.creator	Tuan, Nguyen Huy	es
dc.creator	Wang, Renhai	es
dc.date.accessioned	2021-07-30T11:07:31Z
dc.date.available	2021-07-30T11:07:31Z
dc.date.issued	2021-08-01
dc.identifier.citation	Caraballo Garrido, T., Ngoc, T.B., Tuan, N.H. y Wang, R. (2021). On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel. Proceedings of the American Mathematical Society, 149 (8), 3317-3334.
dc.identifier.issn	0002-9939	es
dc.identifier.uri	https://hdl.handle.net/11441/116564
dc.description.abstract	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.	es
dc.format	application/pdf	es
dc.format.extent	14 p.	es
dc.language.iso	eng	es
dc.publisher	American Mathematical Society	es
dc.relation.ispartof	Proceedings of the American Mathematical Society, 149 (8), 3317-3334.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Riemann-Liouville fractional derivative	es
dc.subject	Time diffusion equation	es
dc.subject	well-posedness	es
dc.subject	regularity estimates	es
dc.title	On a nonlinear volterra integrodifferential equation involving fractional derivative with Mittag-Leffler Kernel	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.publisherversion	https://doi.org/10.1090/proc/15472	es
dc.identifier.doi	10.1090/proc/15472	es
dc.contributor.group	Universidad de Sevilla FQM314: Análisis Estocástico de Sistemas Diferenciales	es
dc.journaltitle	Proceedings of the American Mathematical Society	es
dc.publication.volumen	149	es
dc.publication.issue	8	es
dc.publication.initialPage	3317	es
dc.publication.endPage	3334	es

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