一类无穷区间上分数阶微分方程多点边值问题解的存在性  

Existence of Solution of Multi-point Boundary Value Problems for a Class of Fractional Differential Equations on the Infinite Interval

作　　者：黄燕萍 韦煜明 HUANG Yan-ping;WEI Yu-ming(College of Mathematics and Statistics,Guangxi Normal University,Guilin 541004,China)

机构地区：[1]广西师范大学数学与统计学院,广西桂林541004

出　　处：《广西师范学院学报（自然科学版）》2018年第2期9-17,共9页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：国家自然科学基金(11361010);广西自然科学基金项目(2014GXNSFAA118002)

摘　　要：该文主要研究一类Riemann-Liouville分数阶微分方程在无穷区间上的多点边值问题,利用LeraySchauder非线性抉择定理得到边值问题至少存在一个正解的结论.This paper mainly studies the multi-point boundary value problem of a class of Rie-mann-Liouville fractional differential equations on the infinite interval and existence of solution of the boundary value problem is obtained. The analysis relies on the Leary-Schauder nonlinear alternative theory.

关 键 词：分数阶微分方程 多点边值问题 非线性抉择定理 

分 类 号：O175.1[理学—数学]