@Article{AAM-38-4,
author = {Yarong, Peng and Zhi, Li and Xu, Liping},
title = {Global Attractiveness and Quasi-Invariant Sets of Impulsive Neutral Stochastic Functional Differential Equations Driven by Tempered Fractional Brownian Motion},
journal = {Annals of Applied Mathematics},
year = {2022},
volume = {38},
number = {4},
pages = {414--440},
abstract = {<p style="text-align: justify;">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 $0&lt;α&lt;1/2$ and $λ&gt;0.$ 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.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2021-0082},
url = {https://global-sci.com/article/72639/global-attractiveness-and-quasi-invariant-sets-of-impulsive-neutral-stochastic-functional-differential-equations-driven-by-tempered-fractional-brownian-motion}
}