一类非线性分数阶微分方程边值问题正解的存在性

Existence of positive solutions for a class of nonlinear fractional differential equations with boundary values

摘要:

本文通过运用Schauder不动点定理和Krasnoselskii's不动点定理获得了一类非线性分数阶微分方程边值问题正解的存在性.

关键词:正解;存在性; Schauder不动点定理;Krasnoselskii's不动点定理

Abstract:

In this paper, by using the method of Schauder fixed point theorem and Krasnoselskii's fixed point theorem, the existence of positive solutions for the boundary value problem of a class of nonlinear fractional differential equations is obtianed.

Key words:Existence;Positive solution; Schauder fixed point theorem; Krasnoselskii's fixed point theorem