On a study for the neutral Caputo fractional multi-delayed differential equations with noncommutative coefficient matrices


Aydın M. , Mahmudov N. I.

Chaos, Solitons and Fractals, vol.161, 2022 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 161
  • Publication Date: 2022
  • Doi Number: 10.1016/j.chaos.2022.112372
  • Title of Journal : Chaos, Solitons and Fractals
  • Keywords: Existence and uniqueness of solutions, Fractional derivative, Fractional neutral multi-delayed differential equation, Neutral multi-delay perturbation, Relative controllability, Stability

Abstract

© 2022 Elsevier LtdThe representation of a solution to a neutral linear fractional multiple-delay differential inhomogeneous system with non-commutative coefficient matrices is studied using a multiple-delay perturbation of a matrix function of the Mittag-Leffler type. Second, the existence and uniqueness of the solution are discussed along with the Ulam-Hyers stability of a semilinear neutral fractional differential with multiple delays. Thirdly, with the help of the Krasnoselskii's fixed point theorem, a sufficient condition for the relative controllability of a semilinear neutral fractional differential system with multiple-delay is obtained. Numerical examples confirm the theoretical conclusions.