Yang, Bohui and Luo, Ziyang and Zhang, Xindong and Tang, Quan and Liu, Juan and Alomari, Mohammad (2022) Trajectories and Singular Points of Two-Dimensional Fractional-Order Autonomous Systems. Advances in Mathematical Physics, 2022. pp. 1-9. ISSN 1687-9120
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Abstract
In this paper, we study the trajectories and singular points of two-dimensional fractional-order planar autonomous linear system involving the Caputo-Fabrizio fractional derivative. By the corresponding fractional integral of the Caputo-Fabrizio fractional derivative, we obtain the analytical solutions for the fractional-order planar autonomous linear system, and then, we discuss the behavior of the trajectories for the mentioned autonomous linear system. Furthermore, we consider the existence of singular points in the trajectories. We discuss the conditions under which the singular point is stable or unstable. By determining the value range of the parameters, we obtain the theorems on the type of singular points. Finally, some examples are given to verify the analysis for the mentioned autonomous linear system.
Item Type: | Article |
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Subjects: | Open Library Press > Mathematical Science |
Depositing User: | Unnamed user with email support@openlibrarypress.com |
Date Deposited: | 07 Jan 2023 09:41 |
Last Modified: | 25 Apr 2024 08:58 |
URI: | http://info.euro-archives.com/id/eprint/105 |