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.
引用
收藏
页码：1571 / 1599
页数：28
相关论文
共 50 条
  • [21] ON FRACTIONAL MITTAG-LEFFLER OPERATORS
    Ansari, Alireza
    Darani, Mohammadreza Ahmadi
    Moradi, Mohammad
    REPORTS ON MATHEMATICAL PHYSICS, 2012, 70 (01) : 119 - 131
  • [22] Novel methods to global Mittag-Leffler stability of delayed fractional-order quaternion-valued neural networks
    Yan, Hongyun
    Qiao, Yuanhua
    Duan, Lijuan
    Miao, Jun
    NEURAL NETWORKS, 2021, 142 : 500 - 508
  • [23] A Mittag-Leffler fractional-order difference observer
    Miguel Delfin-Prieto, Sergio
    Martinez-Guerra, Rafael
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (05): : 2997 - 3018
  • [24] Mittag-Leffler stability and generalized Mittag-Leffler stability of fractional-order gene regulatory networks
    Ren, Fengli
    Cao, Feng
    Cao, Jinde
    NEUROCOMPUTING, 2015, 160 : 185 - 190
  • [25] Mittag-Leffler Stability and Synchronization of Multi-delayed Fractional Neural Networks via Halanay Inequality
    Lin-Wei Li
    Yu-Feng Lu
    Feng-Xian Wang
    Xin-Ge Liu
    Circuits, Systems, and Signal Processing, 2025, 44 (2) : 862 - 887
  • [26] Mittag-Leffler stability and synchronization of discrete-time quaternion valued delayed neural networks with fractional order and its application
    Zhang, Weiwei
    Wang, Guanglan
    Sha, Chunlin
    Cao, Jinde
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024,
  • [27] Delayed Reaction-Diffusion Cellular Neural Networks of Fractional Order: Mittag-Leffler Stability and Synchronization
    Stamov, Ivanka M.
    Simeonov, Stanislav
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2018, 13 (01):
  • [28] Robustness and dynamical features of fractional difference spacecraft model with Mittag-Leffler stability
    Sultana, Sobia
    OPEN PHYSICS, 2024, 22 (01):
  • [29] Mittag-Leffler stability of nabla discrete fractional-order dynamic systems
    Wei, Yingdong
    Wei, Yiheng
    Chen, Yuquan
    Wang, Yong
    NONLINEAR DYNAMICS, 2020, 101 (01) : 407 - 417
  • [30] Global Mittag-Leffler synchronization of delayed fractional-order memristive neural networks
    Yingjie Fan
    Xia Huang
    Zhen Wang
    Jianwei Xia
    Yuxia Li
    Advances in Difference Equations, 2018
12345