On the stability of solutions of fractional-like equations of perturbed motion

1Martynyuk, AA
1S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2018, 6:9-16
https://doi.org/10.15407/dopovidi2018.06.009
Section: Mathematics
Language: Russian
Abstract: 

The application of a fractional-like derivative of the Lyapunov function for the dynamic analysis of solutions of the equations of perturbed motion with a fractional-like derivative of the state vector is discussed. The main theorems of the direct Lyapunov method for a given class of equations of motion are presented.

Keywords: asymptotic stability, fractional-like system of equations, instability, Lyapunov direct method, stability
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