THREE POSITIVE SOLUTIONS FOR BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE

被引：1

作者：

Shen, Chunfang ^{[1
]}

Zhou, Hui ^{[1
]}

Yang, Liu ^{[1
]}

机构：

[1] Hefei Normal Univ, Dept Math, Hefei 230061, Anhui, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 04期

关键词：

Fractional differential equation; fixed point; positive solution; cone; Avery-Peterson fixed point theorem; UNIQUENESS RESULT; EXISTENCE;

D O I：

10.11948/2018.1227

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the Avery-Peterson fixed point theorem, we establish the existence result of at least three positive solutions of boundary value problem of nonlinear differential equation with Riemann-Liouville's fractional order derivative. An example illustrating our main result is given. Our results complements and extends previous work in the area of boundary value problems of nonlinear fractional differential equations.

引用

页码：1227 / 1238

页数：12

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