中北大学学报（自然科学版）2018，Vol.39Issue(4)：391-396,6.DOI:10.3969/j.issn.1673-3193.2018.04.004
一类Caputo分数阶脉冲微分方程的反周期边值问题
The Anti-Periodic Boundary Value Problem for a Class of Impulsive Differential Equations of Caputo Fractional Order
摘要
Abstract
The two-point boundary value problem was studied of a class of anti-periodic impulsive differ-ential equations with dependence on fractional order.With given related definition and lemma,the dif-ferential equation was converted into an integral equation and then an integral operator corresponding to the integral equation was introduced.Finally,the existence and uniqueness for solution were obtained with the defined operator by using Schaefer fixed point theorem and contraction mapping theory.To prove the correctness and feasibility of this approach,two examples were presented to illustrate the main conclusions of this paper.关键词
反周期/脉冲/分数阶/边值问题Key words
anti-periodic conditions/pluse/fractional order/boundary value problem分类
数理科学引用本文复制引用
宋姝,周碧波,张玲玲..一类Caputo分数阶脉冲微分方程的反周期边值问题[J].中北大学学报（自然科学版）,2018,39(4):391-396,6.基金项目
国家自然科学基金资助项目(11626165) （11626165）
