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
  • [41] Fractional differential equations for the generalized Mittag-Leffler function
    Agarwal, Praveen
    Al-Mdallal, Qasem
    Cho, Yeol Je
    Jain, Shilpi
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [42] Fractional differential equations for the generalized Mittag-Leffler function
    Praveen Agarwal
    Qasem Al-Mdallal
    Yeol Je Cho
    Shilpi Jain
    Advances in Difference Equations, 2018
  • [43] Global Mittag-Leffler stability and synchronization of discrete-time fractional-order delayed quaternion-valued neural networks
    Chen, Shenglong
    Li, Hong-Li
    Bao, Haibo
    Zhang, Long
    Jiang, Haijun
    Li, Zhiming
    NEUROCOMPUTING, 2022, 511 : 290 - 298
  • [44] Fractional Differintegral Operators of The Generalized Mittag-Leffler Function
    Gupta, Anjali
    Parihar, C. L.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2015, 33 (01): : 137 - 144
  • [45] On a New Class of Fractional Difference-Sum Operators with Discrete Mittag-Leffler Kernels
    Abdeljawad, Thabet
    Fernandez, Arran
    MATHEMATICS, 2019, 7 (09)
  • [46] Global Mittag-Leffler Stability of the Delayed Fractional-Coupled Reaction-Diffusion System on Networks Without Strong Connectedness
    Cao, Yue
    Kao, Yonggui
    Park, Ju H.
    Bao, Haibo
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 33 (11) : 6473 - 6483
  • [47] Multiple Mittag-Leffler Stability of Almost Periodic Solutions for Fractional-Order Delayed Neural Networks: Distributed
    Song, Chenxi
    Qin, Sitian
    Zeng, Zhigang
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2023, : 1 - 13
  • [48] Solvability and stability of a class of fractional Langevin differential equations with the Mittag-Leffler function
    Baghani, Hamid
    Salem, Ahmed
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2024, 30 (02):
  • [49] Properties of ψ-Mittag-Leffler fractional integrals
    Oliveira, D. S.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (01) : 233 - 246
  • [50] Applications of the Mittag-Leffler function in solvability and stability of a class of fractional Langevin equations with two fractional orders
    Baghani, Hamid
    Nieto, Juan J.
    JOURNAL OF ANALYSIS, 2024, 32 (02): : 915 - 929
12345