Finite time stability of fractional delay differential equations

详细信息    查看全文

• 作者：Mengmeng Li ^{Lmm0424@126.com" class="auth_mail" title="E-mail the corresponding author} ; JinRong Wang ; ^{wjr9668@126.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Delayed Mittag-Leffler type matrix ; Fractional delay differential equations ; Finite time stability
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：170-176
• 全文大小：783 K

文摘

In this paper, we firstly introduce a concept of delayed Mittag-Leffler type matrix function, an extension of Mittag-Leffler matrix function for linear fractional ODEs, which help us to seek explicit formula of solutions to fractional delay differential equations by using the variation of constants method. Secondly, we present the finite time stability results by virtue of delayed Mittag-Leffler type matrix. Finally, an example is given to illustrate our theoretical results.