EXISTENCE OF THREE POSITIVE SOLUTIONS FOR A CLASS OF RIEMANN-LIOUVILLE FRACTIONAL Q-DIFFERENCE EQUATION

被引：4
|
作者：
Kang, Shugui [1 ]
Chen, Huiqin [1 ]
Li, Luping [1 ]
Cui, Yaqiong [1 ]
Ma, Shiwang [2 ,3 ]
机构：
[1] Shanxi Datong Univ, Sch Math & Stat, Xingyun St, Datong 037009, Peoples R China
[2] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2019年 / 9卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fractional q-integral of the Riemann-Liouville; fractional q-derivative of the Riemann-Liouville; fixed point theorem; fractional q-difference equation; positive solutions;
D O I：
10.11948/2156-907X.20180118
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we confirm the existence of three positive solutions for a class of Riemann-Liouville fractional q-difference equation which satisfies the boundary conditions. We gain several sufficient conditions for the existence of three positive solutions of this boundary value problem by applying the Leggett-Williams fixed point theorem.
引用
收藏
页码：590 / 600
页数：11
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