一类无穷区间上分数阶微分方程边值问题正解的存在性

Existence of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Equations on Infinite Interval

考虑一类无穷区间上分数阶微分方程边值问题正解的存在性,用锥压缩-锥拉伸不动点定理和压缩映像原理,证明了该边值问题至少存在一个正解且正解唯一.

We considered the existence of positive solutions for a class of boundary value problems of fractional differential equations on infinite intervals,and proved that there was at least one positive solution and unique positive solution for the boundary value problem by using the fixed point theorem of cone compression and cone expansion and the compressed image principle.