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.