一类非线性分数阶泛函微分方程的正解的存在性

摘要

本文研究了一类非线性分数阶泛函微分方程.利用锥拉伸与锥压缩不动点定理,得到这类分数阶泛函微分方程的正解的存在性,推广了马如云的结果.%In this article, we consider a class of nonlinear fractional order functional differential equations with delay. By using Krasnoselskll's fixed point theorem in a cone, we obtain a sufficient condition for the existence of a positive solution for nonlinear fractinonal functional differential equations, which generalizes the results of Ma Ruyun.