具p(t)-Laplacian算子的Caputo型分数阶脉冲微分方程广义反周期边值问题解的存在性

Existence on Solutions for Generalized Anti-periodic Boundary Value Problems of Caputo Fractional Impulsive Differential Equations with p(t)-Laplacian Operator

讨论一类具p(t)-Laplacian算子的Caputo型分数阶脉冲微分方程广义反周期边值问题,运用Krasnosel’skiis不动点定理及Banach压缩映像原理给出了解存在且唯一的充分条件,并通过实例加以验证.

In this paper,a class of generalized anti-periodic boundary value problems of Caputo fractional impulsive differential equations with p(t)-Laplacian operator was discussd.By using Krasnosel’skiis fixed point theorem and Banach compression image principle to give sufficient conditions for the existence and uniqueness of the solutions,and it will be verified by an example.