Solvability for a class of nonlinear fractional differential equations with parameters

被引：0

作者：

Pan, Yuanyao ^{[1
]}

Hou, Xinyi ^{[1
]}

Zhao, Yige ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

2018 18TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS) | 2018年

基金：

中国国家自然科学基金;

关键词：

Fractional differential equations; Positive solution; Fractional Green's function; Fixed point theorem; Eigenvalue; MULTIPLE POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the existence of positive solutions for the boundary value problem of nonlinear fractional differential equations with parameters. By using the properties of the Green function and Guo-Krasnosel'skii fixed point theorem, the eigenvalue intervals of boundary value problem of fractional differential equation are studied and some sufficient conditions for the existence and nonexistence of at least one or two positive solutions for the boundary value problem are obtained. As an application, an example is presented to illustrate the main results.

引用

页码：1019 / 1023

页数：5

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