关于分数阶微分方程解的存在性与Ulam稳定性探究（英文）  

AN INVESTIGATION ON THE EXISTENCE AND ULAM STABILITY OF SOLUTION FOR AN IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION

作　　者：郭育辰 舒小保[1] GUO Yu-chen;SHU Xiao-bao(College of Mathematics and Econometrics,Hunan University,Changsha 410082,China)

机构地区：[1]湖南大学数学与计量经济学院

出　　处：《数学杂志》2019年第6期835-851,共17页Journal of Mathematics

摘　　要：本文主要研究了带有脉冲的无限时滞的中立型黎曼刘维尔型分数阶微分方程.通过使用不动点理论以及非紧性测度,证明了方程解的存在性和Ulam稳定性.In this paper, we investigate the existence and Ulam stability of solution for impulsive Riemann-Liouville fractional neutral function differential equation with infinite delay of order 1<β<2. Firstly, the solution for the equation is proved. By using the fixed point theorem as well as Hausdorff measure of noncompactness, the existence results are obtained and the Ulam stability of the solution is proved.

关 键 词：脉冲黎曼刘维尔型分数阶微分方程 不动点理论 Hausdorff非紧性测度 Ulam稳定性 

分 类 号：O193[理学—数学]