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dc.contributor.authorAgarwal, Ravi
dc.contributor.authorHristova, Snezhana
dc.contributor.authorO’Regan, Donal
dc.identifier.citationAgarwal, 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
dc.description.abstractLipschitz 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.
dc.publisherWalter de Gruyter GmbH
dc.relation.ispartofFractional Calculus and Applied Analysis
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.subjectcaputo fractional differential equations
dc.subjectlipschitz stability
dc.subjectmittag-leffler stability
dc.subjectinitial data difference
dc.subjectlyapunov functions
dc.subjectlyapunov functions
dc.subjectorder systems
dc.titleSome stability properties related to initial time difference for caputo fractional differential equations

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Attribution-NonCommercial-NoDerivs 3.0 Ireland
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland