On the Novel Finite-Time Stability Results for Uncertain Fractional Delay Differential Equations Involving Noninstantaneous Impulses. (29th September 2019)

• Record Type: Journal Article
• Authors: Li, Qien; Luo, Danfeng; Luo, Zhiguo; Zhu, Quanxin
• Other Names: Balsera Ines Tejado Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-09-29
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/9097135
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In this paper, we mainly study the finite-time stability for a kind of uncertain fractional-order delay differential equations with noninstantaneous impulses. By using the Lyapunov functions along with the generalized Grönwall inequality, we present the new stability results for the considered equations. Finally, two examples are given to demonstrate the effectiveness of our theoretical results.