On a nonlocal problem for fractional differential equations via resolvent operators

被引：122

作者：

Chen, Lizhen ^{[1
]}

Fan, Zhenbin ^{[2
]}

Li, Gang ^{[3
]}

机构：

[1] Shanxi Univ Finance & Econ, Dept Appl Math, Taiyuan 030006, Shanxi, Peoples R China

[2] Changshu Inst Technol, Dept Math, Suzhou 215500, Jiangsu, Peoples R China

[3] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

基金：

美国国家科学基金会;

关键词：

nonlocal conditions; analytic resolvent; Caputo fractional order derivative; mild solution; INITIAL CONDITIONS; EXISTENCE;

D O I：

10.1186/1687-1847-2014-251

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Using the techniques of approximate solutions, the analytic resolvent method, and the uniform continuity of the resolvent, we discuss the existence of mild solutions for nonlocal fractional differential equations governed by a linear closed operator which generates a resolvent. An example is also given to illustrate the application of our theory.

引用

页数：12

共 25 条

[1]

Agarwal R., 2012, J ABST DIFF EQS APPL, V2, P26

[2]

Asymptotic periodicity for some evolution equations in Banach spaces [J].