Asymptotic stability of fractional difference equations with bounded time delays

In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are o...

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Bibliographic Details
Published in:Fractional calculus & applied analysis Vol. 23; no. 2; pp. 571 - 590
Main Authors: Wang, Mei, Jia, Baoguo, Du, Feifei, Liu, Xiang
Format: Journal Article
Language:English
Published: Warsaw Versita 01.04.2020
De Gruyter
Nature Publishing Group
Subjects:
39A12
Abstract Harmonic Analysis
Analysis
Asymptotic properties
asymptotical stability
bounded time delays
Difference equations
fractional difference
fractional Halanay inequality
Functional Analysis
Inequalities
Integral Transforms
Mathematics
Operational Calculus
Primary 26A33
Research Paper
Secondary 39A70
Service introduction
Stability
Primary 26A33
39A12
fractional Halanay inequality
asymptotical stability
fractional difference
bounded time delays
Secondary 39A70
ISSN:1311-0454, 1314-2224
Online Access:Get full text
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Summary:In this paper, an integral inequality and the fractional Halanay inequalities with bounded time delays in fractional difference are investigated. By these inequalities, the asymptotical stability conditions of Caputo and Riemann-Liouville fractional difference equation with bounded time delays are obtained. Several examples are presented to illustrate the results.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:1311-0454
1314-2224
DOI:10.1515/fca-2020-0028