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.
引用
收藏
页数:15
相关论文
共 33 条
[1]   Existence of solutions for a sequential fractional integro-differential system with coupled integral boundary conditions [J].
Ahmad, Bashir ;
Luca, Rodica .
CHAOS SOLITONS & FRACTALS, 2017, 104 :378-388
[2]   Existence results for fractional-order differential equations with nonlocal multi-point-strip conditions involving Caputo derivative [J].
Ahmad, Bashir ;
Alsaedi, Ahmed ;
Alsharif, Alaa .
ADVANCES IN DIFFERENCE EQUATIONS, 2015, :1-11
[3]   Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions [J].
Ahmad, Bashir ;
Ntouyas, Sotiris K. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 266 :615-622
[4]   A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions [J].
Aljoudi, Shorog ;
Ahmad, Bashir ;
Nieto, Juan J. ;
Alsaedi, Ahmed .
CHAOS SOLITONS & FRACTALS, 2016, 91 :39-46
[5]  
[Anonymous], 2006, THEORY APPL FRACTION
[6]  
Arafa Aam, 2012, Nonlinear Biomed Phys, V6, P1, DOI 10.1186/1753-4631-6-1
[7]   Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions [J].
Caballero, J. ;
Cabrera, I. ;
Sadarangani, K. .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[8]  
Cole K. S, 1993, COLD SPRING HARB SYM, P107
[9]  
Das S., 2008, Functional Fractional Calculus for System Identification and Controls
[10]   A fractional-order differential equation model of HIV infection of CD4+ T-cells [J].
Ding, Yongsheng ;
Ye, Haiping .
MATHEMATICAL AND COMPUTER MODELLING, 2009, 50 (3-4) :386-392