dc.creator | Li, Lingyu | es |
dc.creator | Chen, Zhang | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.date.accessioned | 2023-11-06T09:47:26Z | |
dc.date.available | 2023-11-06T09:47:26Z | |
dc.date.issued | 2022-07-01 | |
dc.identifier.citation | Li, L., Chen, Z. y Caraballo Garrido, T. (2022). Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise. American institute of mathematical sciences, 16 (10), 2530-2558. https://doi.org/10.3934/dcdss.2022179. | |
dc.identifier.uri | https://hdl.handle.net/11441/150165 | |
dc.description.abstract | In this paper, we are concerned with the long-time behavior of stochastic fractional nonlocal reaction-diffusion equations driven by additive noise. We use the techniques of random dynamical
systems to transform the stochastic model into a random one. To deal with the new nonlocal term
appeared in the transformed equation, we first use a generalization of Peano’s theorem to prove the
existence of local solutions, and then adopt the Galerkin method to prove existence and uniqueness of weak solutions. Next, the existence of pullback attractors for the equation and its associated
Wong-Zakai approximation equation driven by colored noise are shown, respectively. Furthermore, we
establish the upper semi-continuity of random attractors of the Wong-Zakai approximation equation
as δ → 0 +. | es |
dc.format | application/pdf | es |
dc.format.extent | 27 p. | es |
dc.language.iso | eng | es |
dc.publisher | AIMS | es |
dc.relation.ispartof | American institute of mathematical sciences, 16 (10), 2530-2558. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Stochastic fractional nonlocal reaction-diffusion equation | es |
dc.subject | additive noise | es |
dc.subject | random attractor | es |
dc.subject | colored noise | es |
dc.subject | upper semi-continuity | es |
dc.title | Dynamics of a stochastic fractional nonlocal reaction-diffusion model driven by additive noise | 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://dx.doi.org/10.3934/dcdss.2022179 | es |
dc.identifier.doi | 10.3934/dcdss.2022179 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | American institute of mathematical sciences | es |
dc.publication.volumen | 16 | es |
dc.publication.issue | 10 | es |
dc.publication.initialPage | 2530 | es |
dc.publication.endPage | 2558 | es |