Existence and Stability of Solutions for a Class of Fractional Impulsive Differential Equations with Atangana-Baleanu-Caputo Derivative  

作　　者：Xuefan Lin Weimin Hu Youhui Su Yongzhen Yun Xuefan Lin;Weimin Hu;Youhui Su;Yongzhen Yun(College of Mathematics and Statistics, Yili Normal University, Yining, China;School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, China;Institute of Applied Mathmatics, Yili Normal University, Yining, China)

机构地区：[1]College of Mathematics and Statistics, Yili Normal University, Yining, China [2]School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou, China [3]Institute of Applied Mathmatics, Yili Normal University, Yining, China

出　　处：《Journal of Applied Mathematics and Physics》2023年第12期3914-3927,共14页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：Fractional Differential Equation Fixed Point Theorem Existence of Solutions 

分 类 号：O17[理学—数学]