"On the Stability of Commensurate Fractional-Order Lorenz System" by Iqbal H. Jebril and Iqbal M. Batiha

Progress in Fractional Differentiation & Applications

Article Title

On the Stability of Commensurate Fractional-Order Lorenz System

Authors

Iqbal H. Jebril, Mathematics Department, Al Zaytoonah University of Jordan, Queen Alia Airport St 594, Amman 11733, JordanFollow
Iqbal M. Batiha, Department of Mathematics, Faculty of Science and Technology, Irbid National University, 2600 Irbid, Jordan\\ Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAEFollow

Author Country (or Countries)

Jordan

Abstract

In the presented work, with the help of using Adomian decomposition nethod (ADM), two particular situations connected to the equilibria’s stability of the nonlinear fractional-order Lorenz system (FoLS) are examined and confirmed numerically. Such situations can be extremely valuable for discerning between several other situations that might be employed to explore the stability of Lorenz system. In this study, all numerical simulations are carried out by using MATLAB software package.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080305

Recommended Citation

H. Jebril, Iqbal and M. Batiha, Iqbal (2022) "On the Stability of Commensurate Fractional-Order Lorenz System," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 3, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/080305
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss3/5

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