@article{Ullah2023, 
author = {Ihsan Ullah and Aman Ullah and Shabir Ahmad and Hijaz Ahmad and Taher A. Nofal},
title = {A survey of KdV-CDG equations via nonsingular fractional operators},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {8},
pages = {18964-18981},
keywords = {Laplace transform, fixed point theory, Atangana-Baleanu-Caputo operator, KdV-CDG equation},
url = {https://www.sciopen.com/article/10.3934/math.2023966},
doi = {10.3934/math.2023966},
abstract = {In this article, the Korteweg-de Vries-Caudrey-Dodd-Gibbon (KdV-CDG) equation is explored via a fractional operator. A nonlocal differential operator with a nonsingular kernel is used to study the KdV-CDG equation. Some theoretical features concerned with the existence and uniqueness of the solution, convergence, and Picard-stability of the solution by using the concepts of fixed point theory are discussed. Analytical solutions of the KdV-CDG equation by using the Laplace transformation (LT) associated with the Adomian decomposition method (ADM) are retrieved. The solutions are presented using 3D and surface graphics.}
}