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Solvability and Stability for Neutral Stochastic Integro-differential Equations Driven by Fractional Brownian Motion with Impulses

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The paper is devoted to the existence, uniqueness and asymptotic behaviors of mild solution to neutral impulsive stochastic integro-differential equations driven by fractional Brownian motion with $$H\in (\frac{1}{2},1)$$H∈(12,1) by the… Click to show full abstract

The paper is devoted to the existence, uniqueness and asymptotic behaviors of mild solution to neutral impulsive stochastic integro-differential equations driven by fractional Brownian motion with $$H\in (\frac{1}{2},1)$$H∈(12,1) by the theory of resolvent operator and contraction mapping principle. An example is provided to demonstrate the results of the proposed results.

Keywords: integro differential; fractional brownian; driven fractional; equations driven; differential equations; stochastic integro

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2018

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