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Kaslik, E. and Sivasundaram, S. (2012) Analytical and Numerical Methods for the Stability Analysis of Linear Fractional Delay Differential Equations. Journal of Computational and Applied Mathematics, 236, 4027-4041.
https://doi.org/10.1016/j.cam.2012.03.010

has been cited by the following article:

• TITLE: Asymptotic Analysis of Linear and Interval Linear Fractional-Order Neutral Delay Differential Systems Described by the Caputo-Fabrizio Derivative

  AUTHORS: Ann Al Sawoor, Miloud Sadkane

  KEYWORDS: Fractional Calculus, Caputo-Fabrizio Fractional Derivative, Neutral Delay Differential Systems, Asymptotic Stability

  JOURNAL NAME: Applied Mathematics, Vol.11 No.12, December 9, 2020

  ABSTRACT: Asymptotic stability of linear and interval linear fractional-order neutral delay differential systems described by the Caputo-Fabrizio (CF) fractional derivatives is investigated. Using Laplace transform, a novel characteristic equation is derived. Stability criteria are established based on an algebraic approach and norm-based criteria are also presented. It is shown that asymptotic stability is ensured for linear fractional-order neutral delay differential systems provided that the underlying stability criterion holds for any delay parameter. In addition, sufficient conditions are derived to ensure the asymptotic stability of interval linear fractional order neutral delay differential systems. Examples are provided to illustrate the effectiveness and applicability of the theoretical results.