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Generalized Mittag–Leffler Stability of Hilfer Fractional Order Nonlinear Dynamic System
- Source :
- Mathematics, Volume 7, Issue 6, Mathematics, Vol 7, Iss 6, p 500 (2019)
- Publication Year :
- 2019
- Publisher :
- Multidisciplinary Digital Publishing Institute, 2019.
-
Abstract
- This article studies the generalized Mittag&ndash<br />Leffler stability of Hilfer fractional nonautonomous system by using the Lyapunov direct method. A new Hilfer type fractional comparison principle is also proved. The novelty of this article is the fractional Lyapunov direct method combined with the Hilfer type fractional comparison principle. Finally, our main results are explained by some examples.
- Subjects :
- lcsh:Mathematics
General Mathematics
Mathematics::Classical Analysis and ODEs
Type (model theory)
lcsh:QA1-939
01 natural sciences
Stability (probability)
generalized Mittag–Leffler stability
Hilfer fractional nonautonomous system
010101 applied mathematics
Nonlinear system
Hilfer type fractional comparison principle
0103 physical sciences
Computer Science (miscellaneous)
Applied mathematics
Order (group theory)
0101 mathematics
fractional Lyapunov direct method
010301 acoustics
Engineering (miscellaneous)
Mathematics
Lyapunov direct method
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Database :
- OpenAIRE
- Journal :
- Mathematics
- Accession number :
- edsair.doi.dedup.....cedf8593b73dcbe079a26c2f60aa20fc
- Full Text :
- https://doi.org/10.3390/math7060500