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

页码：590 / 600

页数：11

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