“…In this article, we aim to obtain the existence, uniqueness, and multiplicity of positive solutions for BVP . To the authors' knowledge, while the Hadamard‐type fractional derivative is commonly considered for fractional BVPs, to date, few studies have considered BVPs of Hadamard‐type fractional differential equations on infinite intervals . Compared with existing papers, the new insights provided in this paper can be summarized as follows: First, we apply several different techniques to obtain our results including Schauder's fixed point theorem, Banach's contraction mapping principle, the monotone iterative method, and the Avery‐Peterson fixed point theorem.…”