New multiple positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval

Abstract

This paper is concerned with the existence of multiple positive solutions for a nonlinear Hadamard-type fractional differential equation with nonlocal boundary conditions on an infinite interval. We first transform the given problem into an equivalent fixed point problem on cone, and then solve it by using the generalized Avery–Henderson fixed point theorem. Finally, an example is constructed to illustrate the application of the obtained results.