On the Asymptotic Stability of a Nonlinear Fractional-order System with Multiple Variable Delays

Altun Y., Tunç C.

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, cilt.15, sa.1, ss.458-468, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 1
  • Basım Tarihi: 2020
  • Dergi Adı: APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.458-468
  • Anahtar Kelimeler: Asymptotic stability, Lyapunov functional, fractional-order, variable delay, DIFFERENTIAL-EQUATIONS, NONOSCILLATORY SOLUTIONS, BOUNDEDNESS, EXISTENCE
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we consider a nonlinear differential system of fractional-order with multiple variable delays. We investigate asymptotic stability of zero solution of the considered system. We prove a new result, which includes sufficient conditions, on the subject by means of a suitable Lyapunov functional. An example with numerical simulation of its solutions is given to illustrate that the proposed method is flexible and efficient in terms of computation and to demonstrate the feasibility of established conditions by MATLAB-Simulink.