On the Lyapunov theory for functional differential equations of fractional order

Stamova, Ivanka

doi:10.1090/proc/12822

On the Lyapunov theory for functional differential equations of fractional order
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by Ivanka M. Stamova

Proc. Amer. Math. Soc. 144 (2016), 1581-1593

DOI: https://doi.org/10.1090/proc/12822

Published electronically: August 12, 2015

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Abstract:

In this paper efficient criteria for uniform asymptotic stability and boundedness of fractional-order functional differential equations are proved. To this end the Lyapunov-like functions and Mittag-Leffler functions are used.

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