On the Stability of a System of Equations with Fractional Derivatives with Respect to Two Measures


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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.

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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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