Cited by
- BibTex
- RIS
- TXT
In this paper, we are concerned with a class of impulsive neutral stochastic functional different equations driven by tempered fractional Brownian motion in the Hilbert space. We obtain the global attracting and quasi-invariant sets of the considered equations driven by tempered fractional Brownian motion $B^{α,λ}(t)$ with $0<α<1/2$ and $λ>0.$ In particular, we give some sufficient conditions which ensure the exponential decay in the $p$-th moment of the mild solution of the considered equations. Finally, an example is given to illustrate the feasibility and effectiveness of the results obtained.
}, issn = {}, doi = {https://doi.org/10.4208/aam.OA-2021-0082}, url = {http://global-sci.org/intro/article_detail/aam/21165.html} }In this paper, we are concerned with a class of impulsive neutral stochastic functional different equations driven by tempered fractional Brownian motion in the Hilbert space. We obtain the global attracting and quasi-invariant sets of the considered equations driven by tempered fractional Brownian motion $B^{α,λ}(t)$ with $0<α<1/2$ and $λ>0.$ In particular, we give some sufficient conditions which ensure the exponential decay in the $p$-th moment of the mild solution of the considered equations. Finally, an example is given to illustrate the feasibility and effectiveness of the results obtained.