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

作　　者：刘玉记[1] LIU Yuji(School of Statistics and Mathematics,Economics,Guangzhou 510320,China Guangdong University of Finance and)

机构地区：[1]广东财经大学数学与统计学院,广州510320

出　　处：《数学年刊（A辑）》2018年第3期309-330,共22页Chinese Annals of Mathematics

基　　金：广东省自然科学基金(No.S2011010001900);广州市科技计划项目(No.201804010350)的资助

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.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 exis- tence 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.

关 键 词：脉冲分数阶Bagley-Torvik微分方程 边值问题 Schaefer不动点定理 

分 类 号：O175[理学—数学]