一类具有非瞬时脉冲的分数阶微分方程积分边值问题解的存在性

摘要

A class of boundary value problems of non-instantaneous impulses fractional differential equations with integral boundary conditions was studied.According to the conditions of non-instantaneous impulses and the properties of boundary conditions,multiple theorems for the existence and uniqueness of boundary value problem solutions were established under different control conditions of nonlinear terms,and also the correctness of the obtained solutions was proved by using the fixed point theorem.%研究了一类具有积分边界条件的非瞬时脉冲分数阶微分方程边值问题.根据非瞬时脉冲条件和边界条件的特点,针对非线性项不同的控制条件,建立了边值问题解的存在性和唯一性的多个定理,并运用不动点定理证明了所得结论的正确性.