On the application of G α " role="presentation"> G α G α G_\alpha integral transform to nonlinear dynamical models with non-integer order derivatives

AIMS Mathematics

article

Rahmatullah Ibrahim Nuruddeen¹  Yasir Akbar²  Hwajoon Kim³ 

[1] Department of Mathematics, Federal University Dutse;COMSATS University Islamabad;Kyungdong University

关键词: integral transform method;    dynamical models;    evolution equations;    non-integer derivatives;   

DOI  :  10.3934/math.2022984

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY