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

被引：37

作者：

Deng, Jiqin ^{[1
]}

Deng, Ziming ^{[2
]}

机构：

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

[2] Port Machinery BU Sony Grp Co Ltd, Changsha 410100, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 32卷

关键词：

Caputo fractional derivative; Fractional integral; Existence and uniqueness; Schauder fixed point theorem; INTEGRAL-EQUATIONS; UNIQUENESS; MODELS;

D O I：

10.1016/j.aml.2014.02.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the Schauder fixed point theorem, we study the existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations and obtain some new results. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：6 / 12

页数：7

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