AIMS Mathematics | |
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 | |
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
【 预 览 】
Files | Size | Format | View |
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RO202302200002207ZK.pdf | 819KB | download |