一类非线性分数阶q-差分方程耦合系统边值问题解的存在性  

Existence of solutions for boundary value problem for a class of coupled system of nonlinear fractional q-difference equations

作　　者：孟鑫[1] MENG Xin(College of Mathematics and Computer,Jilin Normal University,Siping 136000,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

出　　处：《中山大学学报（自然科学版）（中英文）》2023年第2期165-171,共7页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金(10971084)。

摘　　要：考虑了一类非线性Caputo型分数阶q-差分方程耦合系统边值问题。应用Leray-Schauder非线性抉择和Altman不动点定理证明该耦合系统边值问题解的存在性。最后通过例子说明了主要结论在实际问题中应用。The boundary value problem for a class of coupled system of nonlinear Caputo fractional qdifference equations is considered.The existence of solutions for the coupled system is obtained by us‐ing the Leray-Schauder nonlinear alternative and the Altman fixed point theorem.As applications,some examples are presented to illustrate the main results.

关 键 词：分数阶q-差分方程 耦合系统 边值问题 LERAY-SCHAUDER非线性抉择 

分 类 号：O175.[理学—数学]