Discrete Delayed Perturbation of Mittag-Leffler Function and Its Application to Linear Fractional Delayed Difference System

Aydın M., Mahmudov N.

Azerbaijan Journal of Mathematics, vol.15, no.2, pp.3-22, 2025 (ESCI) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 15 Say: 2
  • Nəşr tarixi: 2025
  • Doi nömrəsi: 10.59849/2218-6816.2025.2.3
  • jurnalın adı: Azerbaijan Journal of Mathematics
  • Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Səhifə sayı: pp.3-22
  • Açar sözlər: discrete delayed perturbation, fractional difference, linear system, nabla Mittag-Leffler, time-delay
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

The linear nonhomogeneous fractional difference system with constant coefficients is introduced. An explicit solution to this system is obtained by proposing a newly discrete retarded perturbation of the nabla Mittag-Leffler-type function containing matrix equations that provide non-permutability. A couple of special cases obtained from our results are discussed.