Razumikhin-type stability theorems for functional fractional-order differential systems and applications

Boshan Chen and Jiejie Chen

Applied Mathematics and Computation, 2015, vol. 254, issue C, 63-69

Abstract: In this paper, we studied the stability of functional fractional-order differential systems using a Lyapunov function and develop Razumikhin-type uniform stability and global uniform asymptotic stability theorems for functional fractional-order differential systems, which involve Riemann–Liouville and Caputo derivatives respectively. Two examples are given as application of our theorems.

Keywords: Functional fractional-order differential system; Uniform stability; Global uniform stability; Razumikhin-type theorem (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (18)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:254:y:2015:i:c:p:63-69

DOI: 10.1016/j.amc.2014.12.010

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