|
| 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. |
| 关键词: 脉冲黎曼刘维尔型分数阶微分方程 不动点理论 Hausdorfi非紧性测度 Ulam稳定性 |
| DOI： |
| 分类号:O193 |
| 基金项目: |
|
| AN INVESTIGATION ON THE EXISTENCE AND ULAM STABILITY OF SOLUTION FOR AN IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATION |
|
GUO Yu-chen,SHU Xiao-bao
|
| Abstract: |
| In this paper, we investigate the existence and Ulam stability of solution for impulsive Riemann-Liouville fractional neutral function differential equation with inflnite delay of order 1 < β < 2. Firstly, the solution for the equation is proved. By using the fixed point theorem as well as Hausdorameasure of noncompactness, the existence results are obtained and the Ulam stability of the solution is proved. |
| Key words: impulsive Riemann-Liouville fractional differential equation the fixed point theorem Hausdorαmeasure of noncompactness Ulam stability |
