@article{Nuruddeen2022, 
author = {Rahmatullah Ibrahim Nuruddeen and Yasir Akbar and Hwajoon Kim},
title = {On the application of        G    α   integral transform to nonlinear dynamical models with non-integer order derivatives},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {10},
pages = {17859-17878},
keywords = {integral transform method, dynamical models, evolution equations, non-integer derivatives},
url = {https://www.sciopen.com/article/10.3934/math.2022984},
doi = {10.3934/math.2022984},
abstract = {The current study uses an essential and integrated form of Laplace-type integral transform coupled with the Adomian's approach to study nonlinear evolution equations endowed with non-integer derivatives. More so, of particular interest here is to demonstrate the application of this transform to a wider class of nonlinear problems. Three test models have been examined by the presented method, and their closed-form solutions have been reported iteratively. Lastly, the variational effect of the non-integer order derivatives on the evolution of these models has been studied via the two and three-dimensional depictions.}
}