The Uniqueness of Positive Solutions for an Iterative System of Higher‐Order Hadamard Fractional Equations With Three‐Point Boundary Conditions

ABSTRACT The aim of this paper is to prove the uniqueness of positive solutions for an iterative system of Hadamard fractional problems under three‐point boundary conditions. Different from some methods in literature, we use some fixed point theorems for monotone operators in ordered Banach spaces and then get the unique positive solutions for the iterative system. Finally, by constructing two examples, the feasibility and effectiveness of the obtained research result is verified.