Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative

被引：131
|
作者：
Alizadeh, Shahram [1 ]
Baleanu, Dumitru [2 ,3 ]
Rezapour, Shahram [1 ]
机构：
[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran
[2] Cankaya Univ, Dept Math, Ankara, Turkey
[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Caputo-Fabrizio derivative; Fractional differential; Transient response;
D O I：
10.1186/s13662-020-2527-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the transient response of the parallel RCL circuit with Caputo-Fabrizio derivative is solved by Laplace transforms. Also, the graphs of the obtained solutions for the different orders of the fractional derivatives are compared with each other and with the usual solutions. Finally, they are compared with practical and laboratory results.
引用
收藏
页数：19
相关论文
共 50 条
  • [31] Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo-Fabrizio derivative
    Mahdy, Amr M. S.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023,
  • [32] A new fractional model for the dynamics of the hepatitis B virus using the Caputo-Fabrizio derivative
    Saif Ullah
    Muhammad Altaf Khan
    Muhammad Farooq
    The European Physical Journal Plus, 133
  • [33] A new fractional model for the dynamics of the hepatitis B virus using the Caputo-Fabrizio derivative
    Ullah, Saif
    Khan, Muhammad Altaf
    Farooq, Muhammad
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (06): : 1 - 14
  • [34] A fractional order pine wilt disease model with Caputo-Fabrizio derivative
    Khan, Muhammad Altaf
    Ullah, Saif
    Okosun, K. O.
    Shah, Kamil
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [35] REACHABILITY OF FRACTIONAL CONTINUOUS-TIME LINEAR SYSTEMS USING THE CAPUTO-FABRIZIO DERIVATIVE
    Kaczorek, Tadeusz
    PROCEEDINGS - 30TH EUROPEAN CONFERENCE ON MODELLING AND SIMULATION ECMS 2016, 2016, : 53 - 58
  • [36] Numerical Approach of Cattaneo Equation with Time Caputo-Fabrizio Fractional Derivative
    Soori, Zoleikha
    Aminataei, Azim
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2024, 19 (02): : 127 - 153
  • [37] Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales
    Mozyrska, Dorota
    Torres, Delfim F. M.
    Wyrwas, Malgorzata
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 32 : 168 - 176
  • [38] Existence of the solution for hybrid differential equation with Caputo-Fabrizio fractional derivative
    Chefnaj, Najat
    Hilal, Khalid
    Kajouni, Ahmed
    FILOMAT, 2023, 37 (07) : 2219 - 2226
  • [39] An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative
    Marasi, H. R.
    Joujehi, A. Soltani
    Aydi, H.
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [40] Fractional speeded up robust features detector with the Caputo-Fabrizio derivative
    J. E. Lavín-Delgado
    J. E. Solís-Pérez
    J. F. Gómez-Aguilar
    R. F. Escobar-Jiménez
    Multimedia Tools and Applications, 2020, 79 : 32957 - 32972
12345