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 50 条
[31]   Positive Solutions to a System of Coupled Hadamard Fractional Boundary Value Problems [J].
Tudorache, Alexandru ;
Luca, Rodica .
FRACTAL AND FRACTIONAL, 2024, 8 (09)
[32]   Positive solutions for a system of semipositone coupled fractional boundary value problems [J].
Henderson, Johnny ;
Luca, Rodica .
BOUNDARY VALUE PROBLEMS, 2016,
[33]   Positive solutions for a system of semipositone coupled fractional boundary value problems [J].
Johnny Henderson ;
Rodica Luca .
Boundary Value Problems, 2016
[34]   Existence of positive solutions for singular fractional boundary value problems with p-Laplacian [J].
Hamal, Nuket Aykut ;
Erkan, Furkan .
FILOMAT, 2023, 37 (20) :6867-6876
[35]   EXISTENCE OF POSITIVE SOLUTIONS OF FRACTIONAL BOUNDARY VALUE PROBLEMS INVOLVING BOUNDED LINEAR OPERATORS [J].
Graef, John R. ;
Liu, Xueyan .
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2014,
[36]   Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian [J].
Zhang, Luchao ;
Zhang, Weiguo ;
Liu, Xiping ;
Jia, Mei .
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[37]   Existence of positive solutions for integral boundary value problems of fractional differential equations with p-Laplacian [J].
Luchao Zhang ;
Weiguo Zhang ;
Xiping Liu ;
Mei Jia .
Advances in Difference Equations, 2017
[38]   Existence and Multiplicity of Positive Solutions for a Singular Riemann-Liouville Fractional Differential Problem [J].
Luca, Rodica .
FILOMAT, 2020, 34 (12) :3931-3942
[39]   MULTIPLE POSITIVE SOLUTIONS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS [J].
Tabti, Hamza ;
Belmekki, Mohammed .
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2024, 91 :161-173
[40]   Positive solutions for nonlinear fractional boundary value problems [J].
Debananda Basua .
International Journal of Dynamics and Control, 2024, 12 :283-291