Martynyuk, AnatoliyStamova, Ivanka2022-01-242022-01-242018-03-06Martynyuk, A. A., & Stamova, I. M. (2018). Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion. <i>Electronic Journal of Differential Equations, 2018</i>(62), pp. 1-12.1072-6691https://hdl.handle.net/10877/15203This article discusses the application of a fractional-like derivative of Lyapunov-type functions in the stability analysis of solutions of perturbed motion equations with a fractional-like derivative of the state vector. The main theorems of the direct Lyapunov method for this class of motion equations are established.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalFractional-like derivativeLyapunov methodStabilityAsymptotic stabilityInstabilityArticle