一类分数阶微分方程解的存在性  

Existence of Solutions for a Class of Fractional Differential Equations

作　　者：郝燕朋 李艳峰 王二静 李巧銮[1] HAO Yanpeng;LI Yanfeng;WANG Erjing;LI Qiaoluan(College of Mathematics and Information Sciences,Hebei Normal University,Hebei Shijiazhuang 050024,China)

机构地区：[1]河北师范大学数学与信息科学学院,河北石家庄050024

出　　处：《河北师范大学学报（自然科学版）》2018年第6期461-465,共5页Journal of Hebei Normal University：Natural Science

基　　金：国家自然科学基金(11571090);河北省高等学校高层次人才科学研究项目(GCC2014052)

摘　　要：研究了非线性分数阶微分方程边值问题解的存在性,借助于Green函数的性质,利用Banach压缩映像原理和锥上的Krasnoselskii’s不动点定理,得到了2个分数阶微分方程解的存在性定理,最后,举例验证所得结论的可行性.This paper presents the existence of solutions of boundary value problem of nonlinear fractional differential equations. Based on the properties of the Green function, the existence theorems of solu- tions of fractional differential equation are obtained by using the Banach＇s contraction mapping principle and the Krasnoselskii＇s fixed point theorem in a cone. Finally,an example is given to demonstrate the feasi- bility of the obtained results.

关 键 词：分数阶 微分方程 解的存在性 

分 类 号：O175.1[理学—数学]