预解算子控制的无穷时滞分数阶微分方程解的存在性

摘要

This paper is concerned with a class of fractional differential equations governed by a linear closed operator which generates a resolvent. The existence of mild solutions to such equations is obtained by using the theory of analytic resolvent and fixed point theorem which improves and generalizes some previous results.%本文研究了一类预解算子控制的具有无穷时滞的分数阶泛函微分方程。利用解析预解算子理论和不动点定理，得到了具有无穷时滞分数阶微分方程适度解的存在性，推广和改进了一些已知的结果。