一类分数阶q-差分方程广义反周期边值问题

吉林大学学报(理学版) ›› 2024, Vol. 62 ›› Issue (2): 237-0242.

一类分数阶q-差分方程广义反周期边值问题

孟鑫¹, 国佳²

1. 吉林师范大学数学与计算机学院, 吉林四平 136000; 2. 吉林师范大学图书馆, 吉林四平 136000

收稿日期:2023-05-19 出版日期:2024-03-26 发布日期:2024-03-26
通讯作者: 孟鑫 E-mail:mengxin0419@126.com

Generalized Anti-periodic Boundary Value Problem for a Class of Fractional q-Difference Equations

MENG Xin¹, GUO Jia²

1. College of Mathematics and Computer, Jilin Normal University, Siping 136000, Jilin Province, China; 2. Library of Jilin Normal University, Siping 136000, Jilin Province, China

Received:2023-05-19 Online:2024-03-26 Published:2024-03-26

摘要/Abstract

摘要： 考虑一类非线性Caputo型分数阶q-差分方程的广义反周期边值问题, 用Banach不动点定理给出该广义反周期边值问题解的存在唯一性结果, 并给出一个应用实例.

关键词: Caputo分数阶q-导数, 分数阶q-差分方程, 广义反周期边值问题, Banach不动点定理

Abstract: We considered the generalized anti-periodic boundary value problem for a class of nonlinear Caputo fractional q-difference equations, gave the existence and uniqueness results of solutions for the generalized anti-periodic boundary value problem by using the Banach fixed point theorem, and gave an application example.

Key words: Caputo fractional q-derivative, fractional q-difference equation, generalized anti-periodic boundary value problem, Banach fixed point theorem

中图分类号:

O175.8

孟鑫, 国佳. 一类分数阶q-差分方程广义反周期边值问题[J]. 吉林大学学报(理学版), 2024, 62(2): 237-0242.

MENG Xin, GUO Jia. Generalized Anti-periodic Boundary Value Problem for a Class of Fractional q-Difference Equations[J]. Journal of Jilin University Science Edition, 2024, 62(2): 237-0242.

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