Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions

被引:17
作者
Wang, Guotao [1 ]
Liu, Sanyang [1 ]
Zhang, Lihong [2 ]
机构
[1] Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R China
[2] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China
关键词
MONOTONE ITERATIVE TECHNIQUE; POSITIVE SOLUTIONS; EXISTENCE; SYSTEMS;
D O I
10.1155/2014/916260
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.
引用
收藏
页数:6
相关论文
共 34 条
[1]   Sequential fractional differential equations with three-point boundary conditions [J].
Ahmad, Bashir ;
Nieto, Juan J. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) :3046-3052
[2]   A study of nonlinear Langevin equation involving two fractional orders in different intervals [J].
Ahmad, Bashir ;
Nieto, Juan J. ;
Alsaedi, Ahmed ;
El-Shahed, Moustafa .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) :599-606
[3]  
[Anonymous], 2006, THEORY APPL FRACTION, DOI DOI 10.1016/S0304-0208(06)80001-0
[4]  
[Anonymous], 2012, FRACTIONAL CALCULUS, DOI DOI 10.1142/10044
[5]  
[Anonymous], ADV DIFFERENCE EQU, DOI DOI 10.1186/1687-1847-2011-2
[6]   Eigenvalue intervals for a class of fractional boundary value problem [J].
Bai, Zhanbing .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (10) :3253-3257
[7]   On positive solutions of a nonlocal fractional boundary value problem [J].
Bai, Zhanbing .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) :916-924
[8]   An Existence Result for Nonlinear Fractional Differential Equations on Banach Spaces [J].
Benchohra, Mouffak ;
Cabada, Alberto ;
Seba, Djamila .
BOUNDARY VALUE PROBLEMS, 2009,
[9]   Positive solutions of nonlinear fractional differential equations with integral boundary value conditions [J].
Cabada, Alberto ;
Wang, Guotao .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (01) :403-411
[10]   New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions [J].
Feng, Meiqiang ;
Zhang, Xuemei ;
Ge, WeiGao .
BOUNDARY VALUE PROBLEMS, 2011,