Electronic Journal of Differential Equations, 
Vol. 2020 (2020), No. 118, pp. 1-19.

Title: Stability for conformable impulsive differential equations
       
Authors: Yuanlin Ding (Guizhou Univ., Guiyang, Guizhou, China)
         Michal Feckan (Comenius Univ. Bratislava, Slovakia)
         Jinrong Wang (Renmin Univ., Beijing, China)

Abstract:
 In this article, we study impulsive differential equations
 with conformable derivatives. Firstly, we derive suitable formulas
 for  solving linear impulsive conformable Cauchy problems.
 Then, we show that the linear problem has asymptotic stability,
 and the nonlinear problem has generalized Ulam-Hyers-Rassias stability.
 Also we illustrate our results with examples.
 
Submitted October 4, 2020. Published December 08, 2020.
Math Subject Classifications: 34A37, 34A08, 34D20.
Key Words: Conformable derivative; impulsive differential equation;
           asymptotic stability; generalized Ulam-Hyers-Rassias stability.