STUDY IN FRACTIONAL DIFFERENTIAL EQUATIONS BY MEANS OF TOPOLOGICAL DEGREE METHODS

被引：55
|
作者：
Wang, JinRong [1 ]
Zhou, Yong [2 ]
Wei, Wei [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Xiangtan Univ, Dept Math, Xiangtan, Hunan, Peoples R China
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2012年 / 33卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Condensing maps; Data dependence; Existence and uniqueness; Fractional differential equations; Topological degree; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; EVOLUTION-EQUATIONS; POSITIVE SOLUTION; EXISTENCE; UNIQUENESS; INCLUSIONS;
D O I：
10.1080/01630563.2011.631069
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we study some class of fractional differential equations involving the Caputo fractional derivative. By using a fixed point theorem on topological degree for condensing maps via a priori estimate method, some sufficient conditions for the existence of solutions are presented. Uniqueness and data dependence results of solutions are also deduced.
引用
收藏
页码：216 / 238
页数：23
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