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

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.