一类分数阶q-差分方程广义反周期边值问题  

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

作　　者：孟鑫[1] 国佳[2] MENG Xin;GUO Jia(College of Mathematics and Computer,Jilin Normal University,Siping 136000,Jilin Province,China;Library of Jilin Normal University,Siping 136000,Jilin Province,China)

机构地区：[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

出　　处：《吉林大学学报（理学版）》2024年第2期237-242,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:10971084)。

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.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.

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 

分 类 号：O175.8[理学—数学]