Existence and Nonexistence of Positive Solutions for Coupled Riemann-Liouville Fractional Boundary Value Problems

被引：21
作者：
Henderson, Johnny [1 ]
Luca, Rodica [2 ]
Tudorache, Alexandru [3 ]
机构：
[1] Baylor Univ, Dept Math, Waco, TX 76798 USA
[2] Gh Asachi Tech Univ, Dept Math, Iasi 700506, Romania
[3] Gh Asachi Tech Univ, Fac Comp Engn & Automat Control, Iasi 700050, Romania
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2016年 / 2016卷
关键词：
DIFFERENTIAL-EQUATIONS; SYSTEM;
D O I：
10.1155/2016/2823971
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with two parameters, subject to coupled integral boundary conditions.
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页数：12
相关论文
共 18 条
[1]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[2]  
[Anonymous], 2006, Journal of the Electrochemical Society
[3]  
[Anonymous], 1988, NOTES REPORTS MATH S
[4]  
Cannon J.R., 1963, Quarterly of Applied Mathematics, V21, P155, DOI DOI 10.1090/QAM/160437
[5]  
Chegis RYu., 1984, Litovsk Mat Sb, V24, P209
[6]  
Das S., 2008, Functional Fractional Calculus for System Identification and Controls
[7]   Existence of positive solutions for a system of semipositone fractional boundary value problems [J].
Henderson, Johnny ;
Luca, Rodica .
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016, (22) :1-28
[8]   Nonexistence of positive solutions for a system of coupled fractional boundary value problems [J].
Henderson, Johnny ;
Luca, Rodica .
BOUNDARY VALUE PROBLEMS, 2015,
[9]   ON A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH COUPLED INTEGRAL BOUNDARY CONDITIONS [J].
Henderson, Johnny ;
Luca, Rodica ;
Tudorache, Alexandru .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (02) :361-386
[10]   Positive solutions for a system of fractional differential equations with coupled integral boundary conditions [J].
Henderson, Johnny ;
Luca, Rodica .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 249 :182-197
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