Publication

Some stability properties related to initial time difference for caputo fractional differential equations

Agarwal, Ravi
Hristova, Snezhana
O’Regan, Donal
Citation
Agarwal, Ravi; Hristova, Snezhana; O’Regan, Donal (2018). Some stability properties related to initial time difference for caputo fractional differential equations. Fractional Calculus and Applied Analysis 21 (1), 72-93
Abstract
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 conditions are obtained. The fractional order extension of comparison principles via scalar fractional differential equations with a parameter is employed. The relation between both types of stability is discussed theoretically and it is illustrated with examples.
Funder
Publisher
Walter de Gruyter GmbH
Publisher DOI
10.1515/fca-2018-0005
Rights
Attribution-NonCommercial-NoDerivs 3.0 Ireland