无穷区间上分数阶微分方程积分边值问题正解的存在性  

Existence of Positive Solutions of Fractional Differential Equation with Integral Boundary Conditions on the Infinite Interval

作　　者：薛婷 刘文斌 张伟 

机构地区：[1]中国矿业大学数学学院,江苏徐州221116

出　　处：《南京师大学报（自然科学版）》2017年第4期36-46,共11页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11271364)

摘　　要：本文讨论了一类无穷区间上分数阶耦合微分方程积分边值问题,通过运用Krasnoselskii不动点定理,得到了边值问题至少存在一个正解,并举例验证了本文的结果.This paper rtudys a coupled system of fractional differential equations with integral boundary conditions on an infinite interval. By the means of Krasnoselskii fixed point theorem in cones, it shows the boundary value problem has at least one positive solution. Moreover, an example is given to illustrate the main results.

关 键 词：无穷区间 分数阶耦合微分方程 KrapoelK不动点定理 正解 

分 类 号：O175[理学—数学]