Characterization of compactness for resolvents and its applications

被引：49
|
作者：
Fan, Zhenbin [1 ]
机构：
[1] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 232卷
关键词：
Compactness of resolvent; Analytic resolvent; Mild solution; Fractional evolution equation; FRACTIONAL DIFFERENTIAL-EQUATIONS; DERIVATIVES; EXISTENCE;
D O I：
10.1016/j.amc.2014.01.051
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we derive some characterizations of compactness for resolvents as well as the subordination principle associated with the compactness. As applications, we obtain the existence of fractional evolution equations by using Schauder's fixed point theorem. A simple example about fractional heat equation is also given to illustrate our theory. (c) 2014 Elsevier Inc. All rights reserved.
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页码：60 / 67
页数：8
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