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

页码：216 / 238

页数：23

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