@article{Jeelani2022, 
author = {Mdi Begum Jeelani and Abeer S. Alnahdi and Mohammed A. Almalahi and Mohammed S. Abdo and Hanan A. Wahash and M. A. Abdelkawy},
title = {Study of the Atangana-Baleanu-Caputo type fractional system with a generalized Mittag-Leffler kernel},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {2001-2018},
keywords = {generalized Mittag-Leffler, generalized ABC fractional integrals and derivatives, existence, fixed point theorem, δ-approximate solution},
url = {https://www.sciopen.com/article/10.3934/math.2022115},
doi = {10.3934/math.2022115},
abstract = {We devote our interest in this work to investigate the sufficient conditions for the existence, uniqueness, and Ulam-Hyers stability of solutions for a new fractional system in the frame of Atangana-Baleanu-Caputo fractional operator with multi-parameters Mittag-Leffler kernels investigated lately by Abdeljawad (Chaos: An Interdisciplinary J. Nonlinear Sci. Vol. 29, no. 2, (2019): 023102). Moreover, the continuous dependence of solution and    δ-approximate solutions are analyzed to such a system. Our approach is based on Banach's and Schaefer's fixed point theorems and some mathematical techniques. In order to illustrate the validity of our results, an example is given.}
}