Existence of mild solutions for fractional neutral evolution equations

被引：561
|
作者：
Zhou, Yong [1 ]
Jiao, Feng [1 ]
机构：
[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 03期
关键词：
Fractional neutral evolution equations; Nonlocal Cauchy problem; Mild solution; Analytic semigroup; Laplace transform; Probability density; DIFFERENTIAL-EQUATIONS; UNIQUENESS; DIFFUSION;
D O I：
10.1016/j.camwa.2009.06.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, by using the fractional power of operators and some fixed point theorems, we discuss a class of fractional neutral evolution equations with nonlocal conditions and obtain various criteria on the existence and uniqueness of mild solutions. In the end, we give an example to illustrate the applications of the abstract results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1063 / 1077
页数：15
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