Positive solutions for higher-order multi-point fractional boundary value problems

[摘要] In this paper, we consider the higher-order multi-point fractional boundary value problem. We establish the criteria for the existence of at least one and three positive solutions for higher order nonlinear m-point fractional boundary value problem by using the Krasnosel’skii fixed point theorem and the Legget-Williams fixed point theorem, respectively.

[学科分类] 数学（综合）

[关键词] boundary value problems;cone;fixed point theorems;positive solutions;RiemannLiouville fractional derivative