New results for higher‐order Hadamard‐type fractional differential equations on the half‐line

The purpose of this paper is to analyze a new kind of Hadamard‐type fractional boundary value problem combining integral boundary condition and multipoint fractional integral boundary condition on an infinite interval. By the help of the Bai‐Ge's fixed point theorem, multiplicity results of positive solutions are derived for the Hadamard‐type fractional boundary value problem. In the end, an example is also presented to illustrative the main result.