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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

王奇 魏天佑

应用数学2017,Vol.30Issue(1):78-89,12.
应用数学2017,Vol.30Issue(1):78-89,12.

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

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

王奇 1魏天佑1

作者信息

  • 1. 安徽大学数学科学学院,安徽合肥230601
  • 折叠

摘要

Abstract

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

Key words

impulsive fractional differential equation/generalized anti-periodic boundary value problem/fixed point theorem

分类

数理科学

引用本文复制引用

王奇,魏天佑..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[J].应用数学,2017,30(1):78-89,12.

基金项目

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),and the National Natural Science Foundation of China(11271371,11301004,51479215) (1408085MA02,1508085QA01,1608085MA12)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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