TITLE:
Existence and Stability of Solutions for a Class of Fractional Impulsive Differential Equations with Atangana-Baleanu-Caputo Derivative
AUTHORS:
Xuefan Lin, Weimin Hu, Youhui Su, Yongzhen Yun
KEYWORDS:
Fractional Differential Equation, Fixed Point Theorem, Existence of Solutions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.12,
December
26,
2023
ABSTRACT: In this paper, we are concerned with the existence of solutions to a class of Atangana-Baleanu-Caputo impulsive fractional differential equation. The existence and uniqueness of the solution of the fractional differential equation are obtained by Banach and Krasnoselakii fixed point theorems, and sufficient conditions for the existence and uniqueness of the solution are also developed. In addition, the Hyers-Ulam stability of the solution is considered. At last, an example is given to illustrate the main results.