The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application

被引：137

作者：

Jiang, Daqing ^{[1
]}

Yuan, Chengjun ^{[1
,2
]}

机构：

[1] NE Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China

[2] Harbin Univ, Sch Math & Comp, Harbin 150086, Heilongjiang, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 02期

关键词：

Riemann-Liouville's fractional derivative; Boundary value problem; Positive solution; Fixed point theorem in cones; EXISTENCE; UNIQUENESS;

D O I：

10.1016/j.na.2009.07.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss some new positive properties of the Green function for boundary value problems of nonlinear Dirichlet-type fractional differential equations. its applications are also given. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：710 / 719

页数：10

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