Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays

被引：0

作者：

Lanying Hu

Yong Ren

R. Sakthivel

机构：

[1] Anhui Normal University,Department of Mathematics

[2] University of Tasmania,School of Mathematics

[3] Sungkyunkwan University,Department of Mathematics

来源：

Semigroup Forum | 2009年 / 79卷

关键词：

Fractional differential equation; Nonlocal initial condition; Fixed point theorem; Mild solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we establish the existence and uniqueness of mild solutions for a class of semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays in α-norm. And the main tool is the fixed point theorem due to Sadovskii. Some known results are generalized.

引用

页码：507 / 514

页数：7

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