非线性分数阶微分方程脉冲反周期边值问题(英文)  

Impulsive Anti-periodic Boundary Value Problem of Nonlinear Fractional Differential Equations

作　　者：王旭焕[1] 曾庆红 

机构地区：[1]保山学院数学学院,云南保山678000

出　　处：《应用数学》2013年第2期404-409,共6页Mathematica Applicata

基　　金：Supported by the Scientific Research Foundation of Baoshan College (13BZ010)

摘　　要：本文研究q∈(0,1]的分数阶非线性微分方程的脉冲反周期边值问题的解的存在唯一性,我们利用Altman's不动点定理和Leray-Schauder's不动点定理来证明.In this paper,we prove the existence and uniqueness of solutions for anti-periodic boundary value problem of nonlinear impulsive differential equations of fractional order q∈（0,1].Our results are based on Altman＇s fixed point theorem and Leray-Schauder＇s fixed point theorem.

关 键 词：分数阶微分方程 脉冲 边值问题 不动点定理 

分 类 号：O175.8[理学—数学]