Infinitely many solutions to boundary value problems for a coupled system of fractional differential equations

被引：2

作者：

Li, Peiluan ^{[1
]}

Wang, Hui ^{[2
]}

Li, Zheqing ^{[3
]}

机构：

[1] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

[2] Henan Univ Sci & Technol, Coll Informat Engn, Luoyang 471003, Peoples R China

[3] Henan Univ Sci & Technol, Network & Informat Ctr, Luoyang 471003, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 05期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Fractional differential equations; coupled system; variational method; infinitely many solutions; EXISTENCE;

D O I：

10.22436/jnsa.009.05.127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using the variational methods, we investigate the solutions to the boundary value problems for a coupled system of fractional order differential equations. First, we obtain the existence of at least one weak solution by the minimization result due to Mawhin and Willem. Then, the existence criteria of infinitely many solutions are established by a critical point theorem due to Rabinowitz. At last, some examples are also provided to illustrate the results. (C) 2016 All rights reserved.

引用

页码：3433 / 3444

页数：12

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