一类新的有序分数阶q-差分系统边值问题解的存在性

Existence of Solutions for Boundary Value Problems with a New Class of Sequential Fractional q-Differences System

利用Perov’s不动点定理和Schauder不动点定理,考虑一类新的有序分数阶q-差分系统解的存在性,利用q-指数给出该系统解的表达式,得到了该系统解的存在性和唯一性.

By using the Perov's fixed point theorem and Schauder fixed point theorem,we considered the existence of solutions for a new class of the sequential fractional q-differences system.We gave a representation for the solution to this equation by using q-exponential,and obtained the existence and uniqueness of solutions for the sequential fractional q-differences system.