EXISTENCE AND UNIQUENESS OF POSITIVE SOLUTION FOR NONLINEAR FRACTIONAL Q-DIFFERENCE EQUATION WITH INTEGRAL BOUNDARY CONDITIONS

被引：11

作者：

Guo, Caixia ^{[1
]}

Guo, Jianmin ^{[1
]}

Kang, Shugui ^{[1
]}

Li, Huapeng ^{[1
]}

机构：

[1] Shanxi Datong Univ, Sch Math & Stat, Xingyun St, Datong 037009, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2020年 / 10卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractional q-difference; integral boundary value problem; fixed point theorem; positive solution; ORDERS;

D O I：

10.11948/20190055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a class of nonlinear fractional q-difference equations with integral boundary conditions. By exploiting the properties of Green's function and two fixed point theorems for a sum operator, the existence and uniqueness of positive solutions for the boundary value problem are established. Iterative schemes for approximating the solutions are also obtained. Explicit examples are given to illustrate main results.

引用

页码：153 / 164

页数：12

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