Existence of Mild Solutions for a Class of Fractional Non-autonomous Evolution Equations with Delay

• 作者: Bo ZHU Bao-yan HAN Wen-guang YU
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 870-878
• 页数: 9页
• 语种: 英文

摘要

In this paper,we consider the existence and uniqueness of the mild solutions for a class of fractional non-autonomous evolution equations with delay and Caputo's fractional derivatives.By using the measure of noncompactness,β-resolvent family,fixed point theorems and Banach contraction mapping principle,we im-prove and generalizes some related results on this topic.At last,we give an example to illustrate the application of the main results of this paper.