Unique iterative solution for high-order nonlinear fractional q-difference equation based on ? - (h, r)-concave operators

被引：0

作者：

Wang, Jufang ^{[1
]}

Wang, Si ^{[1
]}

Yu, Changlong ^{[1
,2
]}

机构：

[1] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

[2] Beijing Univ Technol, Interdisciplinary Res Inst, Fac Sci, Beijing 100124, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期

基金：

北京市自然科学基金; 中国国家自然科学基金;

关键词：

Fractional q-difference equations; Monotone iterative scheme; -; (h; r)-concave operator; Fixed-point theorem; Boundary value problem; Q-INTEGRALS;

D O I：

10.1186/s13661-023-01718-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An objective of this paper is to investigate the boundary value problem of a high-order nonlinear fractional q-difference equation. It was to obtain a unique iterative solution for this problem by means of applying a novel fixed-point theorem of ? - (h, r)-concave operator, in which the operator is increasing and defined in ordered sets. Moreover, we construct a monotone explicit iterative scheme to approximate the unique solution. Finally, we give an example to illustrate the use of the main result.

引用

页数：13

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