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| Global Attractiveness and Quasi-InvariantSets of Impulsive Neutral StochasticFunctional Differential Equations Drivenby Tempered Fractional Brownian Motion |
| Yarong Peng,Zhi Li,Liping Xu |
| (School of Information and Mathematics, Yangtze University, Jingzhou,
Hubei 434023, China) |
| DOI： |
| Abstract: |
| 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
Bα,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. |
| Key words: Global attracting set, quasi-invariant sets, tempered fractional Brownian
motion, exponential decay. |