分数阶脉冲泛函微分方程积分边值问题解的存在性

Existence of Solutions for Integral Boundary Value Problems of Fractional Impulsive Functional Differential Equations

运用Schauder不动点定理及压缩映射原理,研究一类含有脉冲的分数阶泛函微分方程积分边值问题解的存在性与唯一性,得到并证明了该积分边值问题解的存在性与唯一性定理,并给出实例验证所得结论的适用性和有效性。

By using Schauder fixed point theorem and contracting mapping principle,we studied the existence and uniqueness of solutions for integral boundary value problems of a class of fractional functional differential equations with impulses,obtained and proved the theorems of existence and uniqueness of solutions for the integral boundary value problems,and gave an example to illustrate the applicability and validity of the conclusions.