Abstract: 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.

Key words: integral boundary value problem, L¹-Carathéodory condition, infinite interval, fixed point theorem, RiemannLiouville fractional derivative