Realization of the Fractional Variable-Order Model with Symmetric Property

被引：0
|
作者：
Macias, Michal [1 ]
Sierociuk, Dominik [1 ]
Malesza, Wiktor [1 ]
机构：
[1] Warsaw Univ Technol, Inst Control & Ind Elect, Koszykowa 75, PL-00662 Warsaw, Poland
来源：
ADVANCES IN NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS | 2020年 / 559卷
关键词：
Analog modelling; Variable-order derivatives; Symmetric operators;
D O I：
10.1007/978-3-030-17344-9_4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main contribution of the paper is to show a realization of fractional variable-order electrical model and its symmetric property-it is shown on numerical examples that the composition of two variable-order models designed with opposite value of orders gives an original input function. The fractional order impedances were implemented according to constant-phase element method.
引用
收藏
页码：43 / 54
页数：12
相关论文
共 50 条
  • [31] An improved Maxwell creep model for rock based on variable-order fractional derivatives
    Wu, Fei
    Liu, Jian Feng
    Wang, Jun
    ENVIRONMENTAL EARTH SCIENCES, 2015, 73 (11) : 6965 - 6971
  • [32] A triaxial creep model for salt rocks based on variable-order fractional derivative
    Wu Fei
    Liu Jie
    Zou Quanle
    Li Cunbao
    Chen Jie
    Gao Renbo
    Mechanics of Time-Dependent Materials, 2021, 25 : 101 - 118
  • [33] Variable-order derivative time fractional diffusion model for heterogeneous porous media
    Obembe, Abiola D.
    Hossain, M. Enamul
    Abu-Khamsin, Sidqi A.
    JOURNAL OF PETROLEUM SCIENCE AND ENGINEERING, 2017, 152 : 391 - 405
  • [34] The fractional variable-order Cucker-Smale type model for a couple of agents
    Girejko, Ewa
    Mozyrska, Dorota
    Wyrwas, Malgorzata
    2018 23RD INTERNATIONAL CONFERENCE ON METHODS & MODELS IN AUTOMATION & ROBOTICS (MMAR), 2018, : 105 - 109
  • [35] Variable-order fractional damage creep model based on equivalent viscoelasticity for rock
    Li De-jian
    Liu Xiao-lin
    Han Chao
    ROCK AND SOIL MECHANICS, 2020, 41 (12) : 3831 - 3839
  • [36] A mathematical model for SARS-CoV-2 in variable-order fractional derivative
    Mahmoud H. DarAssi
    Mohammad A. Safi
    Muhammad Altaf Khan
    Alireza Beigi
    Ayman A. Aly
    Mohammad Y. Alshahrani
    The European Physical Journal Special Topics, 2022, 231 : 1905 - 1914
  • [37] Numerical Treatments for Crossover Cancer Model of Hybrid Variable-Order Fractional Derivatives
    Sweilam, Nasser
    Al-Mekhlafi, Seham
    Ahmed, Aya
    Alsheri, Ahoud
    Abo-Eldahab, Emad
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2024, 140 (02): : 1619 - 1645
  • [38] An improved Maxwell creep model for rock based on variable-order fractional derivatives
    Fei Wu
    Jian Feng Liu
    Jun Wang
    Environmental Earth Sciences, 2015, 73 : 6965 - 6971
  • [39] A triaxial creep model for salt rocks based on variable-order fractional derivative
    Wu Fei
    Liu Jie
    Zou Quanle
    Li Chunbao
    Chen Jie
    Gao Renbo
    MECHANICS OF TIME-DEPENDENT MATERIALS, 2021, 25 (01) : 101 - 118
  • [40] A novel variable-order fractional nonlinear Klein Gordon model: A numerical approach
    Sweilam, Nasser H.
    Al-Mekhlafi, Seham M.
    Albalawi, Anan O.
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (05) : 1617 - 1629
12345