一类带有扰动项的分数阶q-差分方程解的存在唯一性

Existence and uniqueness of solutions for a class of fractional q-differences equation with perturbation

研究一类带有扰动项的非线性分数阶q-差分方程边值问题.首先给出了该问题解的表达式,并分析了格林函数的性质;然后利用混合单调算子不动点定理获得了该问题解的存在唯一性,并且构造了两个迭代序列的逼近解.

In the article,we study a class of fractional q-differences equation boundary value problems with perturbation are discussed.Firstly,the expression of solutions is presented,and some characteristics of the Green function were analyzed.Secondly,by applying mixed monotone operators fixed point theorems,our results can not only guarantee the existence and uniqueness of solutions,but aslo construct two iterative sequences to approximate the solution.