Global stability of impulsive fractional differential equations

Global stability of impulsive fractional differential equations
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DOI:
10.1016/j.amc.2014.03.067
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发表时间:
2014-06
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
I. Stamova
I. Stamova
中科院分区:
其他
文献类型:
--
作者:
I. Stamova

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本文研究了具有脉冲效应的分数阶脉冲微分方程系统在固定时刻的全局稳定性。利用Lyapunov函数类型的分段连续函数和一个新的分数比较原理,证明了各种类型的全局稳定的充分条件。
In the present paper the global stability of systems of impulsive differential equations of fractional order with impulse effect at fixed moments of time is considered. Using piecewise continuous functions of the type of Lyapunov’s functions and a new fractional comparison principle sufficient conditions for various types of global stability are proved.