Discrete Delayed Perturbation of Mittag-Leffler Function and Its Application to Linear Fractional Delayed Difference System
Azerbaijan Journal of Mathematics, vol.15, no.2, pp.3-22, 2025 (ESCI, Scopus)
- 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.