$Stability by linear approximation and the relation between the stability of difference and differential fractional systems$

Stability by linear approximation and the relation between the stability of difference and differential fractional systems

The paper is devoted to study the stability of nonlinear fractional order difference systems by their linear approximation. Additionally, we show the relation between the stability of linear fractional order differential systems and their discretizations. Copyright © 2016 John Wiley & Sons, Ltd....

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Veröffentlicht in:	Mathematical methods in the applied sciences 2017-07, Vol.40 (11), p.4080-4091
Hauptverfasser:	Mozyrska, Dorota, Wyrwas, Małgorzata
Format:	Artikel
Sprache:	eng
Schlagworte:	Approximation fractional difference and differential systems linearization Mathematical analysis Nonlinearity Stability
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The paper is devoted to study the stability of nonlinear fractional order difference systems by their linear approximation. Additionally, we show the relation between the stability of linear fractional order differential systems and their discretizations. Copyright © 2016 John Wiley & Sons, Ltd.
ISSN:	0170-4214 1099-1476
DOI:	10.1002/mma.4287