In this paper, we consider a new class of non-instantaneous impulsive partial stochastic differential systems with fractional sectorial operators in separable Hilbert spaces. Using the fractional calculus, the measure of noncompactness, properties of sectorial operators and fixed point theorems, we establish the optimal controllability to the these control systems without assuming the operators is compact. Finally, an example is provided to illustrate the obtained theory.

中文翻译：

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具有分数扇算子的非瞬时脉冲部分随机微分系统的最优可控性

在本文中，我们考虑了可分希尔伯特空间中一类具有分数扇形算子的新型非瞬时脉冲局部随机微分系统。使用分数演算，非紧致性的度量，扇形算子的性质和不动点定理，我们在不假设算子紧凑的情况下为这些控制系统建立了最佳可控制性。最后，提供一个例子来说明所获得的理论。