Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions

被引：14

作者：

Jia, Min ^{[1
]}

Zhang, Xinguang ^{[2
]}

Gu, Xuemai ^{[1
]}

机构：

[1] Harbin Inst Technol, Commun Res Ctr, Harbin 150080, Peoples R China

[2] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2012年

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

fractional differential equation; nontrivial solution; Green function; Leray-Schauder nonlinear alternative; POSITIVE SOLUTIONS; EXISTENCE; ORDER; UNIQUENESS;

D O I：

10.1186/1687-2770-2012-70

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper investigates the existence and uniqueness of nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this kind of problems arise from viscoelasticity, electrochemistry control, porous media, electromagnetic and signal processing of wireless communication system. Some sufficient conditions for the existence and uniqueness of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray-Schauder nonlinear alternative and Schauder fixed point theorem.

引用

页码：1 / 16

页数：16

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