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

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.