Uniqueness of Positive Solutions for a Class of Caputo-Type Fractional Differential Equations with a Parameter

The uniqueness of positive solutions for a class of Caputo-type fractional differential equation with a parameter was studied. The existence theorem of unique positive solution was given by using the properties of Green function. The sufficient condition for the existence of the unique positive solution of the fractional differential equation was proved by using the fixed point theorem of concave operator.