On the discrete delayed perturbation of Mittag-Leffler functions and their application to Caputo-type fractional difference equations
Journal of Analysis, vol.33, no.5, pp.2521-2545, 2025 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 33 Issue: 5
- Publication Date: 2025
- Doi Number: 10.1007/s41478-025-00954-1
- Journal Name: Journal of Analysis
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.2521-2545
- 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 Caputo-type fractional difference system with constant coefficients is introduced. An explicit solution to the system is acquired by proposing a newly discrete retarded perturbation of the nabla Mittag-Leffer-type function containing such matrix equations that provide non-permutability. A couple of special cases obtained from our results are discussed.