On the Cauchy Problems of Fractional Evolution Equations with Nonlocal Initial Conditions

被引：16
|
作者：
Wang, Rong-Nian [1 ]
Yang, Yan-Hong [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2013年 / 63卷 / 1-2期
关键词：
Cauchy problem of fractional evolution equation; mild solution; nonlocal initial condition; compact semigroup; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.1007/s00025-011-0142-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, new criterions which allow us to relax the compactness and Lipschitz continuity on nonlocal item, ensuring the existence and uniqueness of mild solutions for the Cauchy problems of fractional evolution equations with nonlocal initial conditions, are established. The results obtained in this paper essentially extend some existing results in this area. Finally, we present two applications to the abstract results.
引用
收藏
页码：15 / 30
页数：16
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