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

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.