非线性分数阶微分方程的脉冲边值问题

Impulsive Boundary Value Problem for Nonlinear Differential Equations of Fractional Order

本文利用Altman's不动点定理和Leray-Schauders不动点定理证明了一类含积分边值条件的非线性脉冲分数阶微分方程解的存在性,同时给出了一个例子来说明主要结果。

In this paper, we prove the existence of solutions for the impulsive boundary value problem for nonlinear differential equations of fractional order. Our results are based on Altman, s fixed point theorem and Leray--Schauder, s fixed point theorem. One example in given to explain the main result.