This article deals with a new fractional nonlinear delay evolution system driven by a hemi-variational inequality in a Banach space. Utilizing the KKM theorem, a result concerned with the upper semicontinuity and measurability of the solution set of a hemivariational inequality is established. By using a fixed point theorem for a condensing set-valued map, the nonemptiness and compactness of the set of mild solutions are also obtained for such a system under mild conditions. Finally, an example is presented to illustrate our main results.

中文翻译：

---

Banach空间中由半变分不等式驱动的分数非线性演化延迟系统

本文处理由 Banach 空间中的半变分不等式驱动的新分数非线性延迟演化系统。利用KKM定理，建立了与半变分不等式的解集的上半连续性和可测性有关的结果。通过对凝聚集值映射使用不动点定理，对于这样的系统，在温和条件下也获得了温和解集的非空性和紧致性。最后，给出了一个例子来说明我们的主要结果。