Existence and Continuous Dependence of Mild Solutions for Some Fractional Neutral Differential Equations with Nonlocal Initial Conditions

被引：0

作者：

叶海平 ^{[1
]}

刘姣 ^{[1
]}

机构：

[1] College of Science,Donghua University

来源：

Journal of Donghua University(English Edition) | 2011年 / 28卷 / 06期

关键词：

fractional differential equation; nonlocal initial condition; mild solution; Krasnoselskii’s fixed point theorem; resolvent operator;

D O I：

10.19884/j.1672-5220.2011.06.014

中图分类号：

O175.6 [积分微分方程];

学科分类号：

070104 ;

摘要：

The existence,uniqueness,and continuous dependence to the mild solutions of the nonlocal Cauchy problem were proved for a class of semilinear fractional neutral differential equations.The results are obtained by using the Krasnoselskii’s fixed point theorem and the theory of resolvent operators for integral equations.

引用

页码：609 / 615

页数：7

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