一类具有非线性边值条件的非线性分数阶微分方程正解的存在性（英文）

Existence of Positive Solutions for a Kind of Nonlinear Fractional Differential Equation with Nonlinear Boundary Value Conditions

本文研究一类非线性分数阶边值问题正解的存在唯一性问题.利用混合单调算子的方法,获得至少一个正解的存在性结果,推广了整数阶边值问题的存在唯一性结果.

In this paper,we use mixed monotone operator method to deal with the existence and uniqueness of positive solutions to a kind of boundary value problem of the nonlinear fractional order differential equation.Our analysis is based on one new fixed point theorem for the mixed monotone operator.As an application,we also give a simple example to prove our main conclusions.