EXISTENCE OF POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

被引:0
作者
Jinhua Wang
Hongjun Xiang
机构
[1] DeptofMath,XiangnanUniversity
关键词
positive solutions; boundary value problem; nonlinear fractional dif- ferential equation; Green’s function; fixed-point index theory;
D O I
暂无
中图分类号
O175.8 [边值问题];
学科分类号
070104 ;
摘要
In this paper, using the property of the corresponding Green's function and fixed point index theory, some sufficient conditions for the multiplicity and nonexistence of positive solutions to a class of nonlinear fractional boundary value problem are obtained. Three examples are given to show the effectiveness of our results.
引用
收藏
页码:212 / 221
页数:10
相关论文
共 6 条
[1]   Positive solutions for boundary value problems of nonlinear fractional differential equation [J].
Liang, Sihua ;
Zhang, Jihui .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) :5545-5550
[2]   Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation [J].
Xu, Xiaojie ;
Jiang, Daqing ;
Yuan, Chengjun .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) :4676-4688
[3]  
Boundary value problems for differential equations with fractional order and nonlocal conditions[J] . M. Benchohra,S. Hamani,S.K. Ntouyas. Nonlinear Analysis . 2009 (7)
[4]   Positive solutions of nonlinear fractional boundary value problems using Adomian decomposition method [J].
Jafari, Hossein ;
Daftardar-Gejji, Varsha .
APPLIED MATHEMATICS AND COMPUTATION, 2006, 180 (02) :700-706
[5]   Existence and uniqueness for a nonlinear fractional differential equation [J].
Delbosco, D ;
Rodino, L .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 204 (02) :609-625
[6]  
Positive solutions for boundary value problem of nonlinear fractional dif-ferential equation .2 El-Shahed M. Appllication Analysis . 2007