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

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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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Authors and Affiliations

  1. Institute of Mechanics, Ukrainian National Academy of Sciences, Ukraine, 03057, Kiev, Nesterov Str., 3

    A. A. Martynyuk

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  1. A. A. Martynyuk
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Translated from Neliniini Kolyvannya, Vol. 18, No. 2, pp. 238–244, April–June, 2015.

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Martynyuk, A.A. On the Stability of a System of Equations with Fractional Derivatives with Respect to Two Measures. J Math Sci 217, 468–475 (2016). https://doi.org/10.1007/s10958-016-2986-8

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  • DOI: https://doi.org/10.1007/s10958-016-2986-8

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