The unique solution for a fractional q-difference equation with three-point boundary conditions

被引：41

作者：

Zhai, Chengbo ^{[1
]}

Ren, Jing ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2018年 / 29卷 / 03期

关键词：

Fractional q-difference equations; Three-point boundary conditions; Existence and uniqueness; psi; -; (h; r)-concave operator; POSITIVE SOLUTIONS; Q-INTEGRALS; EXISTENCE;

D O I：

10.1016/j.indag.2018.02.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to investigate the existence and uniqueness of solutions for nonlinear fractional q-difference equations with three-point boundary conditions. Our approach relies on a new fixed point theorem of increasing psi - (h, r)-concave operators defined on ordered sets. Further, we can construct a monotone explicit iterative scheme to approximate the unique solution. Finally, the main results are illustrated with the aid of two interesting examples. (C) 2018 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved.

引用

页码：948 / 961

页数：14

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