2017-09-042017-09-042017-09-15Liu, L. y Caraballo Garrido, T. (2017). Well-posedness and dynamics of a fractional stochastic integro-differential equation. Physica D: Nonlinear Phenomena, 355, 45-57.0167-2789http://hdl.handle.net/11441/64146In 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Fractional stochastic integro-differential equationRandom attractorLumer-Phillips theoremHausdorff dimensionA priori estimatesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.physd.2017.05.006