一类脉冲分数阶微分方程广义反周期边值问题解的存在性（英文）  

On the Natural Solution of Generalized Anti-periodic BVP of Impulsive Fractional Differential Equations

作　　者：王奇[1] 魏天佑[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2017年第1期78-89,共12页Mathematica Applicata

基　　金：Supported by the Anhui Provincial Natural Science Foundation(1408085MA02,1508085QA01,1608085MA12);the Key Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028,KJ2014A010);211 Project of Anhui University(02303303-33030011,J18520207,XJYJXKC04);the National Natural Science Foundation of China(11271371,11301004,51479215)

摘　　要：本文研究一类脉冲分数阶微分方程广义反周期边值问题解的存在性,利用不动点理论得到一些解的存在性结论,推广和补充了已有的一些结论.此外给出一个实例说明论文的主要结果的可行性.In this paper, a generalized anti-periodic boundary value problem for an impulsive fractional differential equation is studied. A natural formula of solutions is derived and some existence of solutions are established under some conditions via some fixed point theorems, which extend and supplement some known results. An example is given to illustrate the main results.

关 键 词：脉冲分数阶微分方程 广义反周期边值问题 不动点定理 

分 类 号：O175.8[理学—数学]