Browsing by Author "Hristova, Snezhana"
Now showing items 1-6 of 6
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Exponential stability for differential equations with random impulses at random times
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal (Springer Nature, 2013-01-01)Impulsive differential equations with impulses occurring at random times arise in the modeling of real world phenomena in which the state of the investigated process changes instantaneously at uncertain moments. The ... -
Lyapunov functions and strict stability of caputo fractional differential equations
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal (Springer Nature, 2015-11-06)One of the main properties studied in the qualitative theory of differential equations is the stability of solutions. The stability of fractional order systems is quite recent. There are several approaches in the literature ... -
Lyapunov functions to caputo fractional neural networks with time-varying delays
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal (MDPI AG, 2018-05-09)One of the main properties of solutions of nonlinear Caputo fractional neural networks is stability and often the direct Lyapunov method is used to study stability properties (usually these Lyapunov functions do not depend ... -
Non-instantaneous impulses in caputo fractional differential equations
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal (Walter de Gruyter GmbH, 2017-01-01)Recent modeling of real world phenomena give rise to Caputo type fractional order differential equations with non-instantaneous impulses. The main goal of the survey is to highlight some basic points in introducing ... -
Some stability properties related to initial time difference for caputo fractional differential equations
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal (Walter de Gruyter GmbH, 2018-02-23)Lipschitz stability and Mittag-Leffler stability with initial time difference for nonlinear nonautonomous Caputo fractional differential equation are defined and studied using Lyapunov like functions. Some sufficient ... -
Stability of caputo fractional differential equations by lyapunov functions
Agarwal, Ravi; O’Regan, Donal; Hristova, Snezhana (Institute of Mathematics, Czech Academy of Sciences, 2015-12-01)The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions. The novelty of this paper is based on the new definition of the derivative ...