Existence and multiplicity of positive solutions for a system of fractional boundary value problems

被引:32
作者
Henderson, Johnny [1 ]
Luca, Rodica [2 ]
机构
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
[2] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania
关键词
Riemann-Liouville fractional differential equation; integral boundary conditions; positive solutions; SINGULAR SYSTEMS; EQUATIONS;
D O I
10.1186/1687-2770-2014-60
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence and multiplicity of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations, subject to integral boundary conditions. The nonsingular and singular cases for the nonlinearities are investigated.
引用
收藏
页数:17
相关论文
共 14 条
[1]   FIXED-POINT EQUATIONS AND NONLINEAR EIGENVALUE PROBLEMS IN ORDERED BANACH-SPACES [J].
AMANN, H .
SIAM REVIEW, 1976, 18 (04) :620-709
[2]  
[Anonymous], 2012, Series on Complexity, Nonlinearity and Chaos, DOI 10.1142/10044
[3]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[4]  
[Anonymous], 2006, Journal of the Electrochemical Society
[5]  
Das S., 2008, Functional Fractional Calculus for System Identification and Controls
[6]   Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions [J].
Graef, John R. ;
Kong, Lingju ;
Kong, Qingkai ;
Wang, Min .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (03) :509-528
[7]  
Guo D., 1988, NONLINEAR PROBLEMS A
[8]   Positive solutions for a system of nonlocal fractional boundary value problems [J].
Henderson, Johnny ;
Luca, Rodica .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2013, 16 (04) :985-1008
[9]   Positive Solutions for Singular Systems of Higher-Order Multi-Point Boundary Value Problems [J].
Henderson, Johnny ;
Luca, Rodica .
MATHEMATICAL MODELLING AND ANALYSIS, 2013, 18 (03) :309-324
[10]   Existence and multiplicity for positive solutions of a system of higher-order multi-point boundary value problems [J].
Henderson, Johnny ;
Luca, Rodica .
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2013, 20 (03) :1035-1054