A novel fractional delayed matrix cosine and sine

Mahmudov N.

Applied Mathematics Letters, vol.92, pp.41-48, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 92
  • Publication Date: 2019
  • Doi Number: 10.1016/j.aml.2019.01.001
  • Journal Name: Applied Mathematics Letters
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.41-48
  • Keywords: Delayed matrix cosine, Delayed matrix sine, Fractional linear delay systems
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

We introduce the fractional delayed matrix cosine and sine functions and use the variation of constants method to obtain an explicit formula for a solution to the initial value problem for a Riemann–Liouville sequential fractional linear time-delay system of order 1<2α≤2. Our results extend those for fractional linear time-delay systems and novel for the classical case α=1.