Existence results for a class of nonlinear singular $ p $-Laplacian Hadamard fractional differential equations.

Based on properties of Green's function and the some conditions of f (t , u) , we found a minimal and a maximal positive solution by the method of sequence approximation. Moreover, based on the properties of Green's function and fixed point index theorem, the existence of multiple positive solutions for a singular p -Laplacian fractional differential equation with infinite-point boundary conditions was obtained and, at last, an example was given to demonstrate the validity of our main results. [ABSTRACT FROM AUTHOR]