@article{Khan2023, 
author = {Hasib Khan and Jehad Alzabut and Dumitru Baleanu and Ghada Alobaidi and Mutti-Ur Rehman},
title = {Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {3},
pages = {6609-6625},
keywords = {numerical simulations, hybrid fractional differential equations, modified ABC-operator, existence of solutions, unique solution, Hyers-Ulam-stability},
url = {https://www.sciopen.com/article/10.3934/math.2023334},
doi = {10.3934/math.2023334},
abstract = {In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for mABC-fractional differential equations (mABC-FDEs) with initial conditions; additionally, a numerical scheme based on the the Lagrange's interpolation polynomial is established and applied to a dynamical system for the applications. We also study the uniqueness and Hyers-Ulam stability for the solutions of the presumed mABC-FDEs system. Such a system has not been studied for the mentioned mABC-operator and this work generalizes most of the results studied for the ABC operator. This study will provide a base to a large number of dynamical problems for the existence, uniqueness and numerical simulations. The results are compared with the classical results graphically to check the accuracy and applicability of the scheme.}
}