带积分边值条件下分数阶脉冲微分方程解的存在性

针对分数阶脉冲微分方程解的存在性研究,提出一类带积分边值条件的分数阶脉冲微分方程边值问题;通过上下解方法,利用Schauder不动点定理得到此边值问题解的存在性结果;最后给出了一个例子来说明所得结果的应用性.

The Existence of Solution for Impulsive Fractional Differential Equations with Integral Boundary Value Condition

For the existence of solution to impulsive fractional differential equations, this paper proposes boundary value problems of impulsive fractional differential equations with integral boundary value condition, and the existence of solution for boundary value problems is obtained by upper and lower solutions together with Schauder fixed point theorem. Finally, an example is given to illustrate the application of the obtained results.