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Stability properties in impulsive differential systems of non-integer order

구남집|강보원
대한수학회 (The Korean Mathematical Society)|2019.01|대한수학회지 (Journal of the KMS)|제56권 제1호|pp. 127-147|DOI 10.4134/JKMS.j180106

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참고문헌

키워드

impulsive fractional differential equationMittag-Leffler systemimpulsive fractional comparison principlepiecewise continuous auxiliary function
주제분류수학

초록

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.

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.

참고문헌 (32)

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