关键词: 分数阶非自治发展方程, 时滞, 凝聚映射, 存在性

Abstract: We used the Kuratowski measure of noncompactness and Sadovskii’s fixed point theorem to study the initial value problem of fractional non-autonomous delay evolution equations in Banach spaces. We proved the existence of mild solutions to the problem under weaker noncompactness measures and growth conditions.

Key words: fractional non-autonomous evolution equation, delay, condensing mapping, existence