Iterative Learning Control for Linear Conformable Fractional Differential Equations

被引:0
|
作者
Wang, Xiaowen [1 ]
Wang, JinRong [1 ]
Liu, Shengda [1 ]
机构
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
关键词
Conformable D-type Learning Law; Conformable Fractional Differential Equations; Convergence; EXISTENCE;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper deals with iterative learning control for a linear conformable fractional differential equation. A conformable D-type learning updating law is proposed to derive the convergence results for such type equations varying with the initial state is (not) coincident with the desired initial state. Finally, two numerical examples are given to illustrate the results.
引用
收藏
页码:204 / 208
页数:5
相关论文
共 50 条
  • [21] The fractional differential equations with uncertainty by conformable derivative
    Harir, Atimad
    Melliani, Said
    Chadli, Lalla Saadia
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2022, 15 (02): : 557 - 571
  • [22] Exact solutions of conformable fractional differential equations
    Tajadodi, Haleh
    Khan, Zareen A.
    Irshad, Ateeq ur Rehman
    Gomez-Aguilar, J. F.
    Khan, Aziz
    Khan, Hasib
    RESULTS IN PHYSICS, 2021, 22
  • [23] ON COMPARISON THEOREMS FOR CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS
    Sarikaya, Mehmet Zeki
    Usta, Fuat
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2016, 12 (02): : 207 - 214
  • [24] Conformable Laplace Transform of Fractional Differential Equations
    Silva, Fernando S.
    Moreira, Davidson M.
    Moret, Marcelo A.
    AXIOMS, 2018, 7 (03)
  • [25] Coupled Systems of Conformable Fractional Differential Equations
    Aibout, Samir
    Salim, Abdelkrim
    Abbas, Said
    Benchohra, Mouffak
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2024, 51 (01): : 118 - 132
  • [26] Impulsive fractional differential equations with Riemann-Liouville derivative and iterative learning control
    Chen, Qian
    Debbouche, Amar
    Luo, Zijian
    Wang, JinRong
    CHAOS SOLITONS & FRACTALS, 2017, 102 : 111 - 118
  • [27] POSITIVE SOLUTIONS FOR TWO-POINT CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS BY MONOTONE ITERATIVE SCHEME
    Toprakseven, Suayip
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2021, 11 (01): : 289 - 301
  • [28] Conformable finite element method for conformable fractional partial differential equations
    Sadek, Lakhlifa
    Lazar, Tania A.
    Hashim, Ishak
    AIMS MATHEMATICS, 2023, 8 (12): : 28858 - 28877
  • [29] On the Operator Method for Solving Linear Integro-Differential Equations with Fractional Conformable Derivatives
    Turmetov, Batirkhan Kh.
    Usmanov, Kairat I.
    Nazarova, Kulzina Zh.
    FRACTAL AND FRACTIONAL, 2021, 5 (03)
  • [30] Approximate Solutions for Non-linear Iterative Fractional Differential Equations
    Damag, Faten H.
    Kilicman, Adem
    Ibrahim, Rabha W.
    INNOVATIONS THROUGH MATHEMATICAL AND STATISTICAL RESEARCH: PROCEEDINGS OF THE 2ND INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS (ICMSS2016), 2016, 1739