On the application of Gα integral transform to nonlinear dynamical models with non-integer order derivatives

Autor: Rahmatullah Ibrahim Nuruddeen, Yasir Akbar, Hwajoon Kim
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 10, Pp 17859-17878 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022984?viewType=HTML
Popis: 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.
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