非局部高阶分数微分方程正解的唯一性

Uniqueness of Positive Solutions for Higher Order Nonlocal Fractional Differential Equations

应用广义α-凹算子的不动点理论,得到了保证方程正解的存在和唯一性的标准,同时研究了方程解对参数的依赖性,研究了一类分数阶微分方程非局部边值问题正解的存在唯一性.

In this paper,we consider the uniqueness of positive solutions mr fractional differential equation multi—point boundary value problem with boundary conditions involving a positive parameter. By using a fixed point theorem of generalα—concave operators,we present criteria which guarantee the existence and uniqueness of a positive solution The dependence of the solution on the parameter λ is also studied.