@article{Sitthiwirattham2022, 
author = {Thanin Sitthiwirattham and Rozi Gul and Kamal Shah and Ibrahim Mahariq and Jarunee Soontharanon and Khursheed J. Ansari},
title = {Study of implicit-impulsive differential equations involving Caputo-Fabrizio fractional derivative},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {3},
pages = {4017-4037},
keywords = {Caputo-Fabrizio fractional derivative, stability results, fixed point results, g-H-U stability},
url = {https://www.sciopen.com/article/10.3934/math.2022222},
doi = {10.3934/math.2022222},
abstract = {This article is devoted to investigate a class of non-local initial value problem of implicit-impulsive fractional differential equations (IFDEs) with the participation of the Caputo-Fabrizio fractional derivative (CFFD). By means of Krasnoselskii's fixed-point theorem and Banach's contraction principle, the results of existence and uniqueness are obtained. Furthermore, we establish some results of Hyers-Ulam (H-U) and generalized Hyers-Ulam (g-H-U) stability. Finally, an example is provided to demonstrate our results.}
}