Existence of the mild solution for fractional semilinear initial value problems

被引：106

作者：

Jaradat, Omar K. ^{[1
]}

Al-Omari, Ahmad ^{[1
]}

Momani, Shaher ^{[1
]}

机构：

[1] Mutah Univ, Dept Math, Amman, Jordan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 09期

关键词：

Existence and uniqueness; Mild solution; Semilinear; Fractional differential equation;

D O I：

10.1016/j.na.2007.09.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we will study the existence and uniqueness of mild solution for the semilinear initial value problem of non-integer order: u((alpha)) (t) = Au(t) + f(t, u(t), Gu(t), Su(t)). where, alpha epsilon (0.1 vertical bar and f(t, u(t), Gu(t), Su(t)) is a given function. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：3153 / 3159

页数：7

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