Fractional-like derivative of Lyapunov-type functions and applications to stability analysis of motion
Date
2018-03-06
Authors
Martynyuk, Anatoliy
Stamova, Ivanka
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
This 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.
Description
Keywords
Fractional-like derivative, Lyapunov method, Stability, Asymptotic stability, Instability
Citation
Martynyuk, 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.