## Existence results for impulsive neutral stochastic functional integro-differential inclusions with nonlocal initial conditions.(English)Zbl 1189.60119

Summary: We prove the existence of mild solutions for a class of impulsive neutral stochastic functional integro-differential inclusions with nonlocal initial conditions and resolvent operators. Sufficient conditions for the existence are derived with the help of the fixed point theorem for multi-valued operators due to Dhage and the fractional power of operators. An example is provided to illustrate the theory.

### MSC:

 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 34G20 Nonlinear differential equations in abstract spaces 45R05 Random integral equations
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### References:

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