{"id":26126,"date":"2022-07-08T12:09:46","date_gmt":"2022-07-08T10:09:46","guid":{"rendered":"https:\/\/cio.umh.es\/?p=26126"},"modified":"2022-07-08T12:10:15","modified_gmt":"2022-07-08T10:10:15","slug":"garrido-atienza-m-j-schmalfus-b-valero-j-2022-random-attractors-for-setvalued-dynamical-systems-for-stochastic-evolution-equations-driven-by-a-nontrivial-fractional-noise-stocha-2","status":"publish","type":"post","link":"https:\/\/cio.umh.es\/en\/2022\/07\/08\/garrido-atienza-m-j-schmalfus-b-valero-j-2022-random-attractors-for-setvalued-dynamical-systems-for-stochastic-evolution-equations-driven-by-a-nontrivial-fractional-noise-stocha-2\/","title":{"rendered":"Garrido-Atienza, M.J., Schmalfu\u00df, B., Valero, J. (2022) &quot;Random attractors for setvalued dynamical systems for stochastic evolution equations driven by a nontrivial fractional noise&quot;, Stochastics and Dynamics, 22 (3):2240018"},"content":{"rendered":"<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong><span>Mar\u00eda Jos\u00e9 Garrido (Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla)<\/span> Bj\u00f6rn Schmalfu\u00df (<span>Institut f\u00fcr Stochastik, Friedrich-Schiller-Universit\u00e4t Jena<\/span>) and Jos\u00e9 Valero (Centro de Investigaci\u00f3n Operativa, Universidad Miguel Hernandez de Elche)\u00a0<\/strong><\/p>\n<p class=\"AuthorHeader-module__syvlN margin-size-4-t\" style=\"text-align: justify\"><strong>Abstract:<\/strong> <span>In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative noise. The existence and uniqueness of solutions and weak pullback mean random attractors are also established for a deterministic non-local reaction-diffusion equations with random initial data.<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>Mar\u00eda Jos\u00e9 Garrido (Departamento de Ecuaciones Diferenciales y An\u00e1lisis Num\u00e9rico, Universidad de Sevilla) Bj\u00f6rn Schmalfu\u00df (Institut f\u00fcr Stochastik, Friedrich-Schiller-Universit\u00e4t Jena) and Jos\u00e9 Valero (Centro de Investigaci\u00f3n Operativa, Universidad Miguel Hernandez de Elche)\u00a0<br \/>\nAbstract: In this paper, we prove the existence of weak pullback mean random attractors for a non-local stochastic reaction-diffusion equation with a nonlinear multiplicative [&#8230;]<\/p>","protected":false},"author":5675,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_links_to":"","_links_to_target":""},"categories":[369888],"tags":[],"_links":{"self":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/26126"}],"collection":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/users\/5675"}],"replies":[{"embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/comments?post=26126"}],"version-history":[{"count":0,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/posts\/26126\/revisions"}],"wp:attachment":[{"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/media?parent=26126"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/categories?post=26126"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cio.umh.es\/en\/wp-json\/wp\/v2\/tags?post=26126"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}