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http://dx.doi.org/10.4134/JKMS.j180106

STABILITY PROPERTIES IN IMPULSIVE DIFFERENTIAL SYSTEMS OF NON-INTEGER ORDER  

Kang, Bowon (Department of Mathematics Chungnam National University)
Koo, Namjip (Department of Mathematics Chungnam National University)
Publication Information
Journal of the Korean Mathematical Society / v.56, no.1, 2019 , pp. 127-147 More about this Journal
Abstract
In this paper we establish some new explicit solutions for impulsive linear fractional differential equations with impulses at fixed times, which provides a handy tool in deriving singular integral-sum inequalities and an impulsive fractional comparison principle. Thus we study the Mittag-Leffler stability of impulsive differential equations with the Caputo fractional derivative by using the impulsive fractional comparison principle and piecewise continuous functions of Lyapunov's method. Also, we give some examples to illustrate our results.
Keywords
aimpulsive fractional differential equation; Mittag-Leffler system; impulsive fractional comparison principle; piecewise continuous auxiliary function;
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Times Cited By KSCI : 3  (Citation Analysis)
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