Existence and exponential stability of neutral stochastic partial integrodifferential equations driven by fractional Brownian motion with impulsive effects

다국어 초록 (Multilingual Abstract)

The purpose of this work is to study the existence and continuous dependence on neutral stochastic partial integrodifferential equations with impulsive effects, perturbed by a fractional Brownian motion with Hurst parameter \mathtt{H}\in (\frac{1}{2}, 1). We use the theory of resolvent operators developed in Grimmer [19] to show the existence of mild solutions. Further, we establish a new impulsive-integral inequality to prove the exponential stability of mild solutions in the mean square moment. Finally, an example is presented to illustrate our obtained results.

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