Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function
This paper is involved with synchronization of fractional order stochastic systems in finite dimensional space, and we have tested its time response and stochastic chaotic behaviors. Firstly, we give a representation of solution for a stochastic fractional order chaotic system. Secondly, some useful...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/6/4/192 |
| _version_ | 1797504814426357760 |
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| author | T. Sathiyaraj Michal Fečkan JinRong Wang |
| author_facet | T. Sathiyaraj Michal Fečkan JinRong Wang |
| author_sort | T. Sathiyaraj |
| collection | DOAJ |
| description | This paper is involved with synchronization of fractional order stochastic systems in finite dimensional space, and we have tested its time response and stochastic chaotic behaviors. Firstly, we give a representation of solution for a stochastic fractional order chaotic system. Secondly, some useful sufficient conditions are investigated by using matrix type Mittag-Leffler function, Jacobian matrix via stochastic process, stability analysis and feedback control technique to assure the synchronization of stochastic error system. Thereafter, numerical illustrations are provided to verify the theoretical parts. |
| first_indexed | 2024-03-10T04:09:43Z |
| format | Article |
| id | doaj.art-f59eb8f45f8d404a9df7c1df94d4c405 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T04:09:43Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-f59eb8f45f8d404a9df7c1df94d4c4052023-11-23T08:15:20ZengMDPI AGFractal and Fractional2504-31102022-03-016419210.3390/fractalfract6040192Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler FunctionT. Sathiyaraj0Michal Fečkan1JinRong Wang2Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, ChinaDepartment of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská Dolina, 842 48 Bratislava, SlovakiaDepartment of Mathematics, Guizhou University, Guiyang, Guizhou 550025, ChinaThis paper is involved with synchronization of fractional order stochastic systems in finite dimensional space, and we have tested its time response and stochastic chaotic behaviors. Firstly, we give a representation of solution for a stochastic fractional order chaotic system. Secondly, some useful sufficient conditions are investigated by using matrix type Mittag-Leffler function, Jacobian matrix via stochastic process, stability analysis and feedback control technique to assure the synchronization of stochastic error system. Thereafter, numerical illustrations are provided to verify the theoretical parts.https://www.mdpi.com/2504-3110/6/4/192fractional calculusstochastic calculusstability analysissynchronization theory |
| spellingShingle | T. Sathiyaraj Michal Fečkan JinRong Wang Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function Fractal and Fractional fractional calculus stochastic calculus stability analysis synchronization theory |
| title | Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function |
| title_full | Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function |
| title_fullStr | Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function |
| title_full_unstemmed | Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function |
| title_short | Synchronization of Fractional Stochastic Chaotic Systems via Mittag-Leffler Function |
| title_sort | synchronization of fractional stochastic chaotic systems via mittag leffler function |
| topic | fractional calculus stochastic calculus stability analysis synchronization theory |
| url | https://www.mdpi.com/2504-3110/6/4/192 |
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