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

Agarwal, Ravi
; 
Hristova, Snezhana
; 
O’Regan, Donal
Identifiers
http://hdl.handle.net/10379/10136
 https://doi.org/10.13025/28410
Publication Date
2018-02-23
Keywords
caputo fractional differential equations, lipschitz stability, mittag-leffler stability, initial data difference, lyapunov functions, lyapunov functions, order systems
Type
Article
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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.
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Publisher
Walter de Gruyter GmbH
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)