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 

机构地区：[1]School of Mathematics and Quantitative Economics,Shandong University of Finance and Economics,Jinan 250014,China [2]Common Course Teaching Department,Shandong University of Art and Design,Jinan 250014,China [3]School of Insurance,Shandong University of Finance and Economics,Jinan 250014,China

出　　处：《Acta Mathematicae Applicatae Sinica》2020年第4期870-878,共9页应用数学学报（英文版）

基　　金：The paper is supported financially by the Project of Shandong Province Higher Educational Science and Technology Program(J16LI14);the National Natural Science Foundation of China(No.11871302);the Taishan Scholars Program of Shandong Province(No.tsqn20161041);the Humanities and Social Sciences Project of the Ministry Education of China(No.19YJA910002);the Natural Science Foundation of Shandong Province(No.ZR2018MG002).

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 improve 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.

关 键 词：Fractional non-autonomous evolution equations β-resolvent family Mild solution Measure of noncompactness. 

分 类 号：O175[理学—数学]