POSITIVE SOLUTIONS OF A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEM

被引：0

作者：

Sun, Yan ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2018年 / 19卷 / 04期

关键词：

existence; positive solution; boundary value problem; fractional differential equation;

D O I：

10.17654/DE019040369

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate sufficient conditions of the existence of at least three positive solutions for a class of nonlinear fractional differential equations with three-point boundary value problems. Some new multiplicity and nonexistence results of positive solutions are established by using Leggett-Williams fixed point theorem on cones together with some comparison results. Finally, an example is presented to demonstrate the validity of the main results here.

引用

页码：369 / 389

页数：21

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