一类非线性分数阶微分方程边值问题正解的存在唯一性

Unique Positive Solution for a Class of Nonlinear Fractional Differential Equation Boundary Value Problem

运用和算子的不动点定理,研究了一类非线性分数阶微分方程边值问题正解的存在唯一性.结果不仅保证了正解的存在唯一性,而且能够构造一个迭代序列逼近它.最后,给出了一个例子说明所得结果的有效性.

In this paper,the unique positive solution for a class of nonlinear fractional differential equation boundary value problem is concerned by a fixed point theorem of a sum operator. The main result can not only guarantee the existence and uniqueness of positive solution,but also be applied to construct an iterative scheme for approximating it. Finally,an example is given to illustrate the main result.