分数阶微分方程三点边值问题正解的存在性和唯一性

The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Functional Differential Equations

研究了一类非线性分数阶微分方程边值问题正解的存在性问题,利用Leray-Schauder抉择定理得到其正解的存在性,利用Banach压缩映像定理得到其正解的唯一性.

The following nonlinear fractional boundary value problem is researehed. We obtain the existence results of positive solutions by applying Leray-Schauder nonlinear alternative theorem. We give the uniqueness of positive solution by means of Banach fixed point theorem.