Abstract

This paper deals with the asymptotic behavior of solutions for a fractional stochastic integro-differential equation driven by additive noise with . We first apply the Galerkin method to prove the existence and uniqueness of solutions for the equation, then establish the existence and uniqueness of tempered pullback random attractors for the equation in an appropriate Hilbert space, which is different from previous works [Liu L, Caraballo T. Well-posedness and dynamics of a fractional stochastic integro-differential equation. Phys D. 2017;355:45–57].

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.