The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and compactness of solution sets and the u.s.c. of operator solutions.

中文翻译：

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一类分数阶微分方程组的存在性和紧致性结果

具有Caputo分数阶导数的分数阶微分方程解的存在性，唯一性，有界性和连续依赖性已由矢量Banach空间中的Perov定点定理证明。我们研究解决方案集的存在性和紧凑性以及运营商解决方案的usc。