Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500296 | Physica D: Nonlinear Phenomena | 2017 | 31 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Linfang Liu, Tomás Caraballo,