Results of Positive Solutions for the Fractional Differential System on an Infinite Interval

被引:5
作者
Wang, Ying [1 ]
Yang, Jun [1 ]
Zi, Yumei [1 ]
机构
[1] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China
基金
中国国家自然科学基金;
关键词
BOUNDARY-VALUE-PROBLEMS; UNBOUNDED SOLUTIONS; EXISTENCE; EQUATIONS;
D O I
10.1155/2020/5174529
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The chief topic of this paper is to investigate the fractional differential system on an infinite interval. By introducing an appropriate compactness criterion in a special function space and applying the Schauder fixed-point theorem and the Banach contraction mapping principle, we established the results for the existence and uniqueness of positive solutions. An example is then given to show the utilization of the main results.
引用
收藏
页数:11
相关论文
共 21 条
[1]  
Agarwal R.P., 2011, Dynamics of Continuous, V18, P235
[2]  
[Anonymous], 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations
[3]   Fractional order differential equations on an unbounded domain [J].
Arara, A. ;
Benchohra, M. ;
Hamidi, N. ;
Nieto, J. J. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (02) :580-586
[4]   Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations [J].
Chen, Chuanjun ;
Li, Kang ;
Chen, Yanping ;
Huang, Yunqing .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 45 (02) :611-630
[5]  
Corduneanu C., 1973, INTEGRAL EQUATIONS S
[6]   Existence of positive solutions for fractional differential equation with integral boundary conditions on the half-line [J].
Jia, Mei ;
Zhang, Haibin ;
Chen, Qiang .
BOUNDARY VALUE PROBLEMS, 2016,
[7]   Solvability for fractional differential equations at resonance on the half line [J].
Jiang, Weihua .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 247 :90-99
[8]   Positive solutions for a new class of Hadamard fractional differential equations on infinite intervals [J].
Li, Shunyong ;
Zhai, Chengbo .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1) :1-9
[9]   Existence of three positive solutions of m-point boundary value problems for some nonlinear fractional differential equations on an infinite interval [J].
Liang, Sihua ;
Zhang, Jihui .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (11) :3343-3354
[10]  
[刘衍胜 Liu Yansheng], 2002, [应用泛函分析学报, Acta analysis functionalis applicata], V4, P211