Stability of Nonlinear Fractional Neutral Differential Difference Systems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:WileyJournal:Discrete Dynamics in Nature and Society, volume 2,014, pages 1-8 (issn: 1026-0226, eissn: 1607-887X,

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Authors: Kewei Liu; Wei Jiang;

doi: 10.1155/2014/514631

Stability of Nonlinear Fractional Neutral Differential Difference Systems

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Abstract

We study the stability of a class of nonlinear fractional neutral differential difference systems equipped with the Caputo derivative. We extend Lyapunov-Krasovskii theorem for the nonlinear fractional neutral systems. Conditions of stability and instability are obtained for the nonlinear fractional neutral systems.

Related Organizations

Hefei University of Technology
China (People's Republic of)
Anhui University
China (People's Republic of)

Keywords

Stability theory of functional-differential equations, QA1-939, Mathematics, Functional-differential equations with fractional derivatives, Neutral functional-differential equations

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