This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities, which are formulated by a Riemann-Liouville fractional delay evolution equation and a variational inequality. Our approach is based on the resolvent technique and a generalization of strongly continuous semigroups combined with Schauder’s fixed point theorem.

中文翻译：

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黎曼-刘维尔分数延迟微分变分不等式的温和解集的非空性和紧性

本文研究了一类 Riemann-Liouville 分数延迟微分变分不等式的温和解集的非空性和紧性，这些不等式由 Riemann-Liouville 分数延迟演化方程和一个变分不等式表示。我们的方法基于求解技术和结合 Schauder 不动点定理的强连续半群的推广。