无穷区间上含参数分数阶微分方程积分边值问题正解的存在性

Existence of Positive Solutions for Integral Boundary Value Problems of Fractional Differential Equations with Parameters in Infinite Interval

考虑一类无穷区间上含参数的Riemann-Liouville型分数阶微分方程积分边值问题.运用锥压缩-锥拉伸不动点定理,建立并证明了该边值问题在无穷区间上正解的存在性与不存在性定理,并给出一个应用实例.

We considered a class of integral boundary value problems of Riemann-Liouville fractional differential equations with parameters in the infinite interval. By using cone compression and cone expansion fixed point theorem, we established and proved the existence and nonexistence theorems of positive solutions for the boundary value problems in the infinite interval, and gave an application example.