On the application of $ G_\alpha $ integral transform to nonlinear dynamical models with non-integer order derivatives-Reference-Cited by-同舟云学术

On the application of $ G_\alpha $ integral transform to nonlinear dynamical models with non-integer order derivatives

Published:2022 Issue:10 Volume:7 Page:17859-17878
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Nuruddeen Rahmatullah Ibrahim¹,Akbar Yasir²,Kim Hwajoon³

Affiliation:

1. Department of Mathematics, Federal University Dutse, Jigawa State, Nigeria

2. COMSATS University Islamabad, Islamabad, Pakistan

3. Kyungdong University, Yangju, Korea

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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