A novel fractional delayed matrix cosine and sine

Mahmudov N.

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

  • Nəşrin Növü: Article / Article
  • Cild: 92
  • Nəşr tarixi: 2019
  • Doi nömrəsi: 10.1016/j.aml.2019.01.001
  • jurnalın adı: Applied Mathematics Letters
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.41-48
  • Açar sözlər: Delayed matrix cosine, Delayed matrix sine, Fractional linear delay systems
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

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.