Stamov, GaniMartynyuk, AnatoliyStamova, Ivanka2021-04-192021-04-192019-11-07Fractal and Fractional 3 (4): 50 (2019)https://hdl.handle.net/20.500.12588/466In this paper, an impulsive fractional-like system of differential equations is introduced. The notions of practical stability and boundedness with respect to h-manifolds for fractional-like differential equations are generalized to the impulsive case. For the first time in the literature, Lyapunov-like functions and their derivatives with respect to impulsive fractional-like systems are defined. As an application, an impulsive fractional-like system of Lotka–Volterra equations is considered and new criteria for practical exponential stability are proposed. In addition, the uncertain case is also investigated.Attribution 4.0 United Stateshttps://creativecommons.org/licenses/by/4.0/fractional-like derivativeimpulsespractical stabilityboundednessh-manifoldsArticle2021-04-19