半无限区间上分数阶微分方程边值问题解的存在性  

The Existence of Solutions for the Boundary Value Problem of Fractional Differential Equation on Half-Infinite interval

作　　者：韩晓欣[1] 李强[2] 杨君霞[3] 江卫华[2] 

机构地区：[1]太原理工大学大学阳泉学院基础部,山西阳泉045000 [2]河北科技大学理学院,河北石家庄050018 [3]石家庄外国语职业学院理学院,河北石家庄052165

出　　处：《太原师范学院学报（自然科学版）》2013年第2期57-60,82,共5页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：研究半无限区间上分数阶多点边值问题的Green函数及其性质,并利用压缩映像原理证明了该问题解的存在性.The Green＇s function of fractional multi-point boundary value problem on half- infinite interval is given and its properties are studied, then the existence of solutions of the boundary value problem is investigated by using the contraction mapping principle.

关 键 词：半无限区间 分数阶微积分 GREEN函数 压缩映像原理 

分 类 号：O175.8[理学—数学]