Representation of solutions of nonhomogeneous conformable fractional delay differential equations


Mahmudov N., Aydın M.

CHAOS SOLITONS & FRACTALS, vol.150, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 150
  • Publication Date: 2021
  • Doi Number: 10.1016/j.chaos.2021.111190
  • Title of Journal : CHAOS SOLITONS & FRACTALS
  • Keywords: Conformable derivative, Conformable delay&nbsp, perturbation, Representation of solutions, Existence, Ulam-Hypers stability, LINEAR DISCRETE-SYSTEMS, FINITE-TIME STABILITY, CONSTANT-COEFFICIENTS

Abstract

A B S T R A C T This paper is about the conformable fractional delay equations. We offer a conformable delay perturbation of matrix exponential function to give the representation of solutions for linear nonhomogeneous conformable fractional delay differential equations. Lastly, the existence and uniqueness of solutions and Ulam-Hyers stability of the equations are proved. (c) 2021 Elsevier Ltd. All rights reserved.