A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations

被引：5

作者：

Li, Fang ^{[1
]}

Liang, Jin ^{[2
]}

Lu, Tzon-Tzer ^{[3
]}

Zhu, Huan ^{[4
]}

机构：

[1] Yunnan Normal Univ, Sch Math, Kunming 650092, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 804, Taiwan

[4] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2012年

关键词：

D O I：

10.1155/2012/901942

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. As an application, the existence of the mild solution to a nonlocal Cauchy problem for a concrete integrodifferential equation is obtained.

引用

页数：18

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