In this paper, we consider the nonlocal controllability of $\alpha\in (1,2)$ -order fractional evolution systems of Sobolev type in abstract spaces. By utilizing fixed point theorems and the theory of resolvent operators we establish some sufficient conditions for the nonlocal controllability of Sobolev-type fractional evolution systems.

中文翻译：

---

Sobolev型分数阶演化系统通过分解算子的可控性

在本文中，我们考虑了抽象空间中Sobolev型（1,2）$阶分数阶演化系统$ \ alpha \的非局部可控性。通过利用不动点定理和可分解算符理论，我们为Sobolev型分数阶演化系统的非局部可控性建立了一些充分的条件。