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arXiv · 1508.01592

Stochastic impulsive fractional differential evolution equations with infinite delay

Zhao Shufen·Song Minghui
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Abstract

In this paper, we investigate a class of stochastic impulsive fractional differential evolution equations with infinite delay in Banach space. Firstly sufficient conditions of the existence and uniqueness of the mild solution for this type of equations are derived by means of the successive approximation. Then we use the Bihari's inequality to get the stability in mean square of the mild solution. Finally an example is presented to illustrate the results.

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Zhao Shufen, Song Minghui. 2015-08-07. Stochastic impulsive fractional differential evolution equations with infinite delay. https://arxiv.org/abs/1508.01592

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