一类含参数的分数阶微分方程边值问题的正解

Positive solutions for a class of boundary value problem of fractional differential equations with a parameter

利用Banach空间上凹算子的不动点定理,研究了带有参数的分数阶微分方程边值问题正解的存在性和唯一性,并给出了正解与参数相关的性质.最后,通过例子说明主要结果.

By using fixed point theorems of concave operators in Banach spaces,the uniqueness and existence of the positive solution for a class of boundary value problem of fractional differential equations with a parameter are studied.Moreover,some properties of positive solutions dependent on the parameter are presented.In the end,an example is given to illustrate the main results.