Nonlocal Cauchy problem for fractional evolution equations

被引：455

作者：

Zhou, Yong ^{[1
]}

Jiao, Feng ^{[1
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期

关键词：

C-0; semigroup; Fractional evolution equations; Mild solution; Nonlocal Cauchy problem; Laplace transform; Probability density; DIFFERENTIAL-EQUATIONS; EXISTENCE; INCLUSIONS; UNIQUENESS; DIFFUSION;

D O I：

10.1016/j.nonrwa.2010.05.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution equations in an arbitrary Banach space and various criteria on the existence and uniqueness of mild solutions are obtained. An example to illustrate the applications of main results is also given. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：4465 / 4475

页数：11

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