Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives
In this article, we survey the Lyapunov direct method for distributed-order nonlinear time-varying systems with the Prabhakar fractional derivatives. We provide various ways to determine the stability or asymptotic stability for these types of fractional differential systems. Some examples are appli...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/1896563 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555031234084864 |
|---|---|
| author | MohammadHossein Derakhshan Azim Aminataei |
| author_facet | MohammadHossein Derakhshan Azim Aminataei |
| author_sort | MohammadHossein Derakhshan |
| collection | DOAJ |
| description | In this article, we survey the Lyapunov direct method for distributed-order nonlinear time-varying systems with the Prabhakar fractional derivatives. We provide various ways to determine the stability or asymptotic stability for these types of fractional differential systems. Some examples are applied to determine the stability of certain distributed-order systems. |
| format | Article |
| id | doaj-art-242ca62090d344f3b049b2382a19e7b5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-242ca62090d344f3b049b2382a19e7b52025-02-03T05:49:39ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/18965631896563Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional DerivativesMohammadHossein Derakhshan0Azim Aminataei1Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box: 16765-3381, Tehran, IranFaculty of Mathematics, K. N. Toosi University of Technology, P.O. Box: 16765-3381, Tehran, IranIn this article, we survey the Lyapunov direct method for distributed-order nonlinear time-varying systems with the Prabhakar fractional derivatives. We provide various ways to determine the stability or asymptotic stability for these types of fractional differential systems. Some examples are applied to determine the stability of certain distributed-order systems.http://dx.doi.org/10.1155/2020/1896563 |
| spellingShingle | MohammadHossein Derakhshan Azim Aminataei Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives Abstract and Applied Analysis |
| title | Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives |
| title_full | Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives |
| title_fullStr | Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives |
| title_full_unstemmed | Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives |
| title_short | Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives |
| title_sort | asymptotic stability of distributed order nonlinear time varying systems with the prabhakar fractional derivatives |
| url | http://dx.doi.org/10.1155/2020/1896563 |
| work_keys_str_mv | AT mohammadhosseinderakhshan asymptoticstabilityofdistributedordernonlineartimevaryingsystemswiththeprabhakarfractionalderivatives AT azimaminataei asymptoticstabilityofdistributedordernonlineartimevaryingsystemswiththeprabhakarfractionalderivatives |