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Generalized Mittag–Leffler Stability of Hilfer Fractional Order Nonlinear Dynamic System

Authors :
Tingting Guan
Guotao Wang
Huanhe Dong
Jianfang Qin
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.

Details

Language :
English
ISSN :
22277390
Database :
OpenAIRE
Journal :
Mathematics
Accession number :
edsair.doi.dedup.....cedf8593b73dcbe079a26c2f60aa20fc
Full Text :
https://doi.org/10.3390/math7060500