On the Stability of a System of Equations with Fractional Derivatives with Respect to Two Measures
- Authors: Martynyuk A.A.1
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Affiliations:
- Institute of Mechanics, Ukrainian National Academy of Sciences
- Issue: Vol 217, No 4 (2016)
- Pages: 468-475
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/238093
- DOI: https://doi.org/10.1007/s10958-016-2986-8
- ID: 238093
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Abstract
We propose a new class of Lyapunov functions for the equations with fractional derivatives. The conditions of stability with respect to two measures are established for a given class of equations by using the generalized comparison principle and a vector-valued Lyapunov function.
About the authors
A. A. Martynyuk
Institute of Mechanics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Nesterov Str., 3, Kiev, 03057
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