Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations

被引：106

作者：

Deng, Jiqin ^{[1
]}

Ma, Lifeng ^{[1
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 06期

关键词：

Caputo fractional derivative; Fractional integral; Existence and uniqueness; Banach contraction principle; INTEGRAL-EQUATIONS; MODELS;

D O I：

10.1016/j.aml.2010.02.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the fixed point theory, we study the existence and uniqueness of initial value problems for nonlinear fractional differential equations and obtain a new result. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：676 / 680

页数：5

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