具分数微分算子的分数阶微分方程边值问题正解的存在性

摘要

We discussed the existence of positive solutions for a class of boundary value problems of fractional differential equation with fractional linear differential operator.Based on the Leggett-Williams fixed point theorem and the fixed point theorem in cones,the existence theorems of one positive solution or three positive solutions,existed at least,have been established,respectively.%利用 Leggett-Williams 不动点定理和锥上不动点定理，研究一类具有分数线性微分算子的分数阶微分方程边值问题，得到了该边值问题至少1个正解和至少3个正解的存在性定理。