MULTIPLE POSITIVE SOLUTIONS FOR FRACTIONAL BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS

被引:0
作者
Tabti, Hamza [1 ]
Belmekki, Mohammed [2 ]
机构
[1] Univ Boumerdes, Dept Math, POB 89, Boumerdes 35000, Algeria
[2] High Sch Appl Sci, POB 165 RP Bel Horizon, Tilimsen, Algeria
来源
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2024年 / 91卷
关键词
Fractional differential equation; integral boundary conditions; positive solutions; Green's function; Leggett-Williams fixed point theorem; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the existence of two or three positive solutions of a class of boundary value problems of nonlinear fractional differential equations with integral boundary conditions. To state our results, we use the functional -type cone expansion -compression fixed point theorem and the Leggett-Williams fixed point theorem, respectively. In addition, we show the effectiveness of the main result by using some examples.
引用
收藏
页码:161 / 173
页数:13
相关论文
共 22 条
[1]   Existence of solutions for impulsive integral boundary value problems of fractional order [J].
Ahmad, Bashir ;
Sivasundaram, S. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) :134-141
[2]   Positive solutions for boundary value problem of nonlinear fractional differential equation [J].
Bai, ZB ;
Lü, HS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (02) :495-505
[3]   Second-Order Boundary Value Problem with Integral Boundary Conditions [J].
Benchohra, Mouffak ;
Nieto, Juan J. ;
Ouahab, Abdelghani .
BOUNDARY VALUE PROBLEMS, 2011,
[4]   Nonlinear fractional differential equations with integral boundary value conditions [J].
Cabada, Alberto ;
Hamdi, Zakaria .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 :251-257
[5]   Positive solutions of nonlinear fractional differential equations with integral boundary value conditions [J].
Cabada, Alberto ;
Wang, Guotao .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 389 (01) :403-411
[6]   Existence of Three Positive Solutions to Three-Point Boundary Value Problem of Nonlinear Fractional Differential Equation [J].
Chen A. ;
Tian Y. .
Differential Equations and Dynamical Systems, 2010, 18 (3) :327-339
[7]  
Diethelm K., 1999, Scientific Computing in Chemical Engineering II -Computational Fluid Dynamics, Reaction Engineering and Molecular Properties, P217
[8]   New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions [J].
Feng, Meiqiang ;
Zhang, Xuemei ;
Ge, WeiGao .
BOUNDARY VALUE PROBLEMS, 2011,
[9]  
Guo D.J., 1988, Notes and Reports in Mathematics in Science and Engineering, V5
[10]   Positive solutions for fourth-order differential equations with deviating arguments and integral boundary conditions [J].
Jankowski, Tadeusz .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (05) :1289-1299