Ultimate boundedness of impulsive fractional differential equations

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• 作者：Liguang Xu^a ; ^{xlg132@126.com" class="auth_mail" title="E-mail the corresponding author} ; Hongxiao Hu^b ; Fajin Qin^c
• 关键词：Caputo fractional differential equations ; Impulsive ; Mittag-Leffler function ; Ultimate boundedness ; Laplace transforms
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：62
• 期：Complete
• 页码：110-117
• 全文大小：633 K

文摘

This article investigates nonlinear impulsive Caputo fractional differential equations. Utilizing Lyapunov functions, Laplace transforms of fractional derivatives and boundedness of Mittag-Leffler functions, several sufficient conditions are derived to ensure the global ultimate boundedness and the exponential stability of the systems. An example is given to explain the obtained results.