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

被引：0
|
作者：
Muath Awadalla
Nazim I. Mahmudov
Jihan Alahmadi
机构：
[1] King Faisal University,Department of Mathematics and Statistics College of Science
[2] Eastern Mediterranean University,Department of Mathematics
[3] Azerbaijan State University of Economics (UNEC),Research Center of Econophysics
[4] Prince Sattam Bin Abdulaziz University,Department of Mathematics College of Science and Humanities in Al
来源：
Journal of Applied Mathematics and Computing | 2024年 / 70卷
关键词：
Discrete delayed perturbation; Fractional difference system; Nabla discrete Mittag-Leffler function; Time-delay; 39A30; 33E12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：1571 / 1599
页数：28
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