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Existence results for systems of coupled impulsive neutral functional differential equations driven by a fractional Brownian motion and a Wiener process. (English) Zbl 1432.34079

Summary: In this paper, we prove some results on the existence and uniqueness of mild solutions for a system of semilinear impulsive differentials with infinite fractional Brownian motions and a Wiener process. Our approach is based on a new version of fixed point theorem, due to Krasnoselskii, in generalized Banach spaces.

MSC:

34F05 Ordinary differential equations and systems with randomness
34A37 Ordinary differential equations with impulses
47H10 Fixed-point theorems
34G20 Nonlinear differential equations in abstract spaces
60G22 Fractional processes, including fractional Brownian motion
47N20 Applications of operator theory to differential and integral equations
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