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 Bo ZHU;Bao-yan HAN;Wen-guang YU

作者机构：School of Mathematics and Quantitative EconomicsShandong University of Finance and EconomicsJinan 250014China Common Course Teaching DepartmentShandong University of Art and DesignJinan 250014China School of InsuranceShandong University of Finance and EconomicsJinan 250014China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2020年第36卷第4期

页      面：870-878页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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) 

主　　题：Fractional non-autonomous evolution equations β-resolvent family Mild solution Measure of noncompactness. 

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 *** 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 *** last,we give an example to illustrate the application of the main results of this paper.