SOLVABILITY OF BOUNDARY VALUE PROBLEMS WITH INTEGRAL CONDITIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Wang, Jinrong ^{[1
,2
]}

Lv, Linli ^{[1
]}

Zhou, Yong ^{[3
]}

机构：

[1] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China

[2] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[3] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

来源：

FIXED POINT THEORY | 2013年 / 14卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; Boundary value problems; Integral conditions; Generalized Gronwall inequality; Fixed point method; EVOLUTION-EQUATIONS; EXISTENCE; INCLUSIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study boundary value problems with integral conditions for fractional differential equations of the order a alpha is an element of (1,2) in an abstract Ranach space. To overcome the difficult from some mixed integral terms in a fractional integral equation, a necessary Gronwall inequality with some mixed integral terms is established to obtain important a priori bounds. Some sufficient conditions for the existence of solutions are presented by means of fractional calculus and fixed point theorems via different conditions and techniques. An example is given to illustrate the results.

引用

页码：507 / 522

页数：16

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