Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order

被引：106

作者：

El-Shahed, Moustafa ^{[1
]}

Nieto, Juan J.

机构：

[1] Qasssim Univ Unizah, Coll Educ, Unizah, Saudi Arabia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 11期

关键词：

Fractional derivative; Boundary value problem; Fixed point theorem; Leray-Schauder nonlinear alternative; Nontrivial solution; DIFFERENTIAL-EQUATIONS; KIND;

D O I：

10.1016/j.camwa.2010.03.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of nontrivial solutions for a multi-point boundary value problem for fractional differential equations. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by using Leray-Schauder nonlinear alternative. As an application, some examples to illustrate our results are given. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3438 / 3443

页数：6

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