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Existence and controllability results for Sobolev-type fractional impulsive stochastic differential equations with infinite delay

Boudaoui A., Slama A.

Journal of Mathematics and Applications

2017

Vol. 40

37--58

In this paper, we prove the existence of mild solutions for Sobolev-type fractional impulsive stochastic di erential equations with in nite delay in Hilbert spaces. In addition, the controllability of the system with nonlocal conditions and in nite delay is studied. An example is provided to illustrate the obtained theory.