Existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter

被引：10

作者：

Wang L. ^{[1
]}

Zhang X. ^{[1
]}

机构：

[1] School of Mathematics, Liaocheng University, Liaocheng

来源：

Journal of Applied Mathematics and Computing | 2014年 / 44卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

Fixed point index; Fractional differential equation; Fractional Green's function; Integral boundary conditions; Positive solution;

D O I：

10.1007/s12190-013-0694-9

中图分类号：

O172 [微积分];

学科分类号：

摘要：

In this paper, we study the existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter. By using the properties of the Green's function, u 0-positive function and the fixed point index theory, we obtain some existence results of positive solution under some conditions concerning the first eigenvalue with respect to the relevant linear operator. The method of this paper is a unified method for establishing the existence of multiple positive solutions for a large number of nonlinear differential equations of arbitrary order with any allowed number of non-local boundary conditions. © 2013 Korean Society for Computational and Applied Mathematics.

引用

页码：293 / 316

页数：23

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