ON A SYSTEM OF FRACTIONAL BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN OPERATOR

被引：10

作者：

Luca, Rodica ^{[1
]}

机构：

[1] Gh Asachi Tech Univ, Dept Math, 11 Blvd Carol I, Iasi 700506, Romania

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2019年 / 28卷 / 03期

关键词：

Riemann-Liouville fractional differential equations; p-Laplacian operator; coupled multi-point boundary conditions; positive solutions; existence; nonexistence; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

10.12732/dsa.v28i3.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence and nonexistence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with parameters and p-Laplacian operator, subject to coupled boundary conditions which contain intermediate points and fractional derivatives.

引用

页码：691 / 713

页数：23

共 31 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] On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions [J].

Ahmad, Bashir ;

Ntouyas, Sotiris K. ;

Alsaedi, Ahmed .

CHAOS SOLITONS & FRACTALS, 2016, 83 :234-241

[3]

Arafa Aam, 2012, Nonlinear Biomed Phys, V6, P1, DOI 10.1186/1753-4631-6-1

[4] Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions [J].

Caballero, J. ;

Cabrera, I. ;

Sadarangani, K. .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[5]

Cole K. S, 1993, COLD SPRING HARB SYM, P107

[6]

Das S., 2008, Functional Fractional Calculus for System Identification and Controls

[7] 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

[8] 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

[9] 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

[10] 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

← 1 2 3 4 →