On a Class of Nonlinear Singular Riemann-Liouville Fractional Differential Equations

被引:13
作者
Luca, Rodica [1 ]
机构
[1] Gh Asachi Tech Univ, Dept Math, 11 Blvd Carol I, Iasi 700506, Romania
关键词
Riemann-Liouville fractional differential equation; integral boundary conditions; positive solutions; existence; multiplicity; POSITIVE SOLUTIONS; COUPLED SYSTEM; EXISTENCE; UNIQUENESS;
D O I
10.1007/s00025-018-0887-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By using the Guo-Krasnosel'skii fixed point theorem and some height functions defined on special bounded sets, we investigate the existence and multiplicity of positive solutions for a class of nonlinear singular Riemann-Liouville fractional differential equations with sign-changing nonlinearities, subject to Riemann-Stieltjes boundary conditions which contain fractional derivatives.
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页数:15
相关论文
共 33 条
[11]   Fractional derivatives embody essential features of cell rheological behavior [J].
Djordjevic, VD ;
Jaric, J ;
Fabry, B ;
Fredberg, JJ ;
Stamenovic, D .
ANNALS OF BIOMEDICAL ENGINEERING, 2003, 31 (06) :692-699
[12]   Chaos synchronization of fractional order modified duffing systems with parameters excited by a chaotic signal [J].
Ge, Zheng-Ming ;
Ou, Chan-Yi .
CHAOS SOLITONS & FRACTALS, 2008, 35 (04) :705-717
[13]   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
[14]  
Guo D., 1988, NONLINEAR PROBLEMS A
[15]   Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters [J].
Guo, Limin ;
Liu, Lishan ;
Wu, Yonghong .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (02) :182-203
[16]   Systems of Riemann-Liouville fractional equations with multi-point boundary conditions [J].
Henderson, Johnny ;
Luca, Rodica .
APPLIED MATHEMATICS AND COMPUTATION, 2017, 309 :303-323
[17]   Existence of positive solutions for a singular fractional boundary value problem [J].
Henderson, Johnny ;
Luca, Rodica .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (01) :99-114
[18]   Positive solutions for a system of semipositone coupled fractional boundary value problems [J].
Henderson, Johnny ;
Luca, Rodica .
BOUNDARY VALUE PROBLEMS, 2016,
[19]   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
[20]   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