Tempered Mittag–Leffler Stability of Tempered Fractional Dynamical Systems
Joint Authors
Ma, Weiyuan
Deng, Jingwei
Deng, Kaiying
Li, Yingxing
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Due to finite lifespan of the particles or boundedness of the physical space, tempered fractional calculus seems to be a more reasonable physical choice.
Stability is a central issue for the tempered fractional system.
This paper focuses on the tempered Mittag–Leffler stability for tempered fractional systems, being much different from the ones for pure fractional case.
Some new lemmas for tempered fractional Caputo or Riemann–Liouville derivatives are established.
Besides, tempered fractional comparison principle and extended Lyapunov direct method are used to construct stability for tempered fractional system.
Finally, two examples are presented to illustrate the effectiveness of theoretical results.
American Psychological Association (APA)
Deng, Jingwei& Ma, Weiyuan& Deng, Kaiying& Li, Yingxing. 2020. Tempered Mittag–Leffler Stability of Tempered Fractional Dynamical Systems. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1200800
Modern Language Association (MLA)
Deng, Jingwei…[et al.]. Tempered Mittag–Leffler Stability of Tempered Fractional Dynamical Systems. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1200800
American Medical Association (AMA)
Deng, Jingwei& Ma, Weiyuan& Deng, Kaiying& Li, Yingxing. Tempered Mittag–Leffler Stability of Tempered Fractional Dynamical Systems. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1200800
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1200800