刘玉记.具有脉冲的分数阶Bagley-Torvik 模型边值问题[J].数学年刊A辑,2018,39(3):309~330
具有脉冲的分数阶Bagley-Torvik 模型边值问题
Boundary Value Problems for Fractional Order Bagley-Torvik Models with Impulse Effects
Received: November 26, 2015  Revised: July 12, 2017
DOI:10.16205/j.cnki.cama.2018.0027
中文关键词:  脉冲分数阶Bagley-Torvik微分方程, 边值问题, Schaefer不动点定理
英文关键词:Impulsive fractional order Bagley-Torvik differential equation, Boundary value problem, Schaefer's fixed point theorem
基金项目:本文受到广东省自然科学基金(No.S2011010001900)和广州市科技计划项目(No.201804010350)的资助.
Author NameAffiliationE-mail
LIU\ \ Yuji School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China. liuyuji888@sohu.com 
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中文摘要:
      将具有脉冲的分数阶Bagley-Torvik微分方程边值问题巧妙地转化为积分方程, 定义加权Banach空间及全连续算子, 运用不动点定理获得该边值问题解的存在性定理. 举例说明了定理的应用. 最后提出有趣的研究问题.
英文摘要:
      The author converts the boundary value problem for impulsive fractional order Bagley-Torvik differential equation to an integral equation technically (a new method). By defining a weighted function Banach space and a completely continuous operator, some existence results for solutions are established. This analysis relies on the well known Schauder's fixed point theorem. Examples are given to illustrate the main results.
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