dc.creator | Liu, Linfang | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.date.accessioned | 2017-09-04T11:20:24Z | |
dc.date.available | 2017-09-04T11:20:24Z | |
dc.date.issued | 2017-09-15 | |
dc.identifier.citation | Liu, L. y Caraballo Garrido, T. (2017). Well-posedness and dynamics of a fractional stochastic integro-differential equation. Physica D: Nonlinear Phenomena, 355, 45-57. | |
dc.identifier.issn | 0167-2789 | es |
dc.identifier.uri | http://hdl.handle.net/11441/64146 | |
dc.description.abstract | In this paper we investigate the well-posedness and dynamics of a fractional stochastic integro-differential equation describing a reaction process depending on the temperature itself. Existence and uniqueness of solutions of the integro-differential equation is proved by the Lumer-Phillips theorem. Besides, under appropriate assumptions on the memory kernel and on the magnitude of the nonlinearity, the existence of random attractor is achieved by obtaining first some a priori estimates. Moreover, the random attractor is shown to have finite Hausdorff dimension. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Physica D: Nonlinear Phenomena, 355, 45-57. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Fractional stochastic integro-differential equation | es |
dc.subject | Random attractor | es |
dc.subject | Lumer-Phillips theorem | es |
dc.subject | Hausdorff dimension | es |
dc.subject | A priori estimates | es |
dc.title | Well-posedness and dynamics of a fractional stochastic integro-differential equation | es |
dc.type | info:eu-repo/semantics/article | es |
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.projectID | info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.physd.2017.05.006 | es |
dc.identifier.doi | 10.1016/j.physd.2017.05.006 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 30 p. | es |
dc.journaltitle | Physica D: Nonlinear Phenomena | es |
dc.publication.volumen | 355 | es |
dc.publication.initialPage | 45 | es |
dc.publication.endPage | 57 | es |