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

TitleOn the stability of solutions of fractional-like equations of perturbed motion
Publication TypeJournal Article
Year of Publication2018
AuthorsMartynyuk, AA
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
Date Published6/2018

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.

Keywordsasymptotic stability, fractional-like system of equations, instability, Lyapunov direct method, stability
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