Existence and Uniqueness of Solutions for the Cauchy-Type Problems of Fractional Differential Equations

被引：24

作者：

Kou, Chunhai ^{[1
]}

Liu, Jian ^{[1
]}

Ye, Yan ^{[2
]}

机构：

[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China

[2] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2010年 / 2010卷

基金：

中国国家自然科学基金; 上海市自然科学基金;

关键词：

DIFFUSION; MODEL; INTEGRATION; ORDER;

D O I：

10.1155/2010/142175

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the Banach fixed point theorem and step method, we study the existence and uniqueness of solutions for the Cauchy-type problems of fractional differential equations. Meanwhile, by citing some counterexamples, it is pointed out that there exist a few defects in the proofs of the known results.

引用

页数：15

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