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

  • Publication Type: Article / Article
  • Volume: 15 Issue: 2
  • Publication Date: 2025
  • Doi Number: 10.59849/2218-6816.2025.2.3
  • Journal Name: Azerbaijan Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.3-22
  • Keywords: discrete delayed perturbation, fractional difference, linear system, nabla Mittag-Leffler, time-delay
  • Open Archive Collection: Article
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

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.