A novel delayed discrete fractional Mittag-Leffler function: representation and stability of delayed fractional difference system

Awadalla M., Mahmudov N. I., Alahmadi J.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, vol.70, no.2, pp.1571-1599, 2024 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 2
  • Publication Date: 2024
  • Doi Number: 10.1007/s12190-024-02012-8
  • Journal Name: JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1571-1599
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In this paper, a delayed discrete Mittag-Leffler matrix function generated by two noncommutative square matrices is introduced. Utilizing this function, the paper establishes an explicit expression for solving constant delay fractional difference systems. Additionally, a criterion for determining the Ulam-Hyers stability of delay fractional difference systems with constant coefficients is derived using the aforementioned explicit representation formula.