Existence and uniqueness of strictly nondecreasing and positive solution for a fractional three-point boundary value problem

被引：47
作者：
Liang, Sihua [1 ]
Zhang, Jihui [2 ]
机构：
[1] Changchun Normal Univ, Coll Math, Changchun 130032, Jilin, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 03期
关键词：
Partially ordered sets; Fixed point theorem; Positive solution; FIXED-POINT THEOREMS; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.camwa.2011.03.073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the following nonlinear fractional three-point boundary value problem D(0+)(alpha)u(t) + f(t, u(t)) = 0, 0 < t < 1, 3 < alpha <= 4, u(0) = u'(0) = u ''(0) = 0, u ''(1) = beta u ''(eta), where D-0+(alpha) is the standard Riemann-Liouville fractional derivative. By using a fixed point theorem in partially ordered sets, we obtain sufficient conditions for the existence and uniqueness of positive and nondecreasing solution to the above boundary value problem. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.
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收藏
页码：1333 / 1340
页数：8
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