一类含参数的Caputo型分数阶微分方程正解的唯一性

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

研究了一类含参数的Caputo型分数阶微分方程正解的唯一性问题。通过运用Green函数的性质,给出了该问题存在唯一正解的存在定理,并利用凹算子不动点定理,证明了该分数阶微分方程存在唯一正解的充分条件。

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.