# STABILITY RESULTS FOR NONLINEAR FRACTIONAL ORDER h-DIFFERENCE SYSTEMS

TitleSTABILITY RESULTS FOR NONLINEAR FRACTIONAL ORDER h-DIFFERENCE SYSTEMS
Publication TypeJournal Article
Year of Publication2018
AuthorsLIU XIANG, JIA BAOGUO, ERBE LYNN, PETERSON ALLAN
JournalDynamic Systems and Applications
Volume27
Issue3
Start Page609
Pagination20
Date Published07/2018
ISSN1056-2176
AMS Subject Classification39A11, 39A70
Abstract

This paper is concerned with the stability of the fractional order h-difference systems. The definition of Mittag-Leffler stability is introduced, and the sufficient conditions are presented by extending the Lyapunov direct method to such systems. Moreover, we weaken the restriction on Lyapunov function, the stability of the fractional order h-difference systems is established. Two numerical examples are given to illustrate our main results.

DOI10.12732/dsa.v27i3.10
Refereed DesignationRefereed
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