Electrical Circuits Described by General Fractional Conformable Derivative

被引：5

作者：

Kahouli, Omar ^{[1
,2
]}

Elloumi, Mourad ^{[3
,4
]}

Naifar, Omar ^{[2
,5
]}

Alsaif, Haitham ^{[6
]}

Kahouli, Bassem ^{[7
]}

Bouteraa, Yassine ^{[8
]}

机构：

[1] Univ Hail, Community Coll, Dept Elect Engn, Hail, Saudi Arabia

[2] Univ Sfax, Natl Sch Engn, Control & Energy Management Lab, Sfax, Tunisia

[3] Univ Sfax, Natl Sch Engn Sfax, Lab Sci & Technol Automat Control & Comp Engn, Sfax, Tunisia

[4] Univ Gafsa, Fac Sci Gafsa, Gafsa, Tunisia

[5] Univ Kairouan, Higher Inst Appl Sci & Technol Kairouan, Kairouan, Tunisia

[6] Univ Hail, Dept Elect Engn, Coll Engn, Hail, Saudi Arabia

[7] Univ Hail, Dept Management Informat Syst, Community Coll, Hail, Saudi Arabia

[8] Prince Sattam Bin Abdulaziz Univ, Coll Comp Engn & Sci, Dept Comp Engn, Al Kharj, Saudi Arabia

来源：

FRONTIERS IN ENERGY RESEARCH | 2022年 / 10卷

关键词：

general fractional conformable derivative; conformable derivative; electrical RC circuit; electrical LC circuit; electrical RLC circuits; MEMORY; MODEL;

D O I：

10.3389/fenrg.2022.851070

中图分类号：

TE [石油、天然气工业]; TK [能源与动力工程];

学科分类号：

0807 ; 0820 ;

摘要：

The general fractional conformable derivative (GCD) and its attributes have been described by researchers in the recent times. Compared with other fractional derivative definitions, this derivative presents a generalization of the conformable derivative and follows the same derivation formulae. For electrical circuits, such as RLC, RC, and LC, we obtain a new class of fractional-order differential equations using this novel derivative, The use of GCD to depict electrical circuits has been shown to be more adaptable and lucrative than the usual conformable derivative.

引用

页数：8

共 50 条

[21] Modification of conformable fractional derivative with classical properties
Al-Sharif, Sh.
Malkawi, A.
Italian Journal of Pure and Applied Mathematics, 2020, 44 : 30 - 39
[22] Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
Alshabanat, Amal
Jleli, Mohamed
Kumar, Sunil
Samet, Bessem
FRONTIERS IN PHYSICS, 2020, 8
[23] Analysis of fractional electrical circuit with rectangular input signal using Caputo and conformable derivative definitions
Piotrowska, Ewa
ARCHIVES OF ELECTRICAL ENGINEERING, 2018, 67 (04) : 789 - 802
[24] Reachability and Observability of Positive Linear Electrical Circuits Systems Described by Generalized Fractional Derivatives
Yuan, Tong
Yang, Hongli
Ivanov, Ivan Ganchev
MATHEMATICS, 2021, 9 (22)
[25] Electrical circuits RC, LC, and RL described by Atangana-Baleanu fractional derivatives
Gomez-Aguilar, J. F.
Atangana, Abdon
Morales-Delgado, V. F.
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2017, 45 (11) : 1514 - 1533
[26] Some New Fractional Integral Inequalities in the Sense of Conformable Fractional Derivative
Zheng, Bin
ENGINEERING LETTERS, 2019, 27 (02) : 287 - 294
[27] Improvement on Conformable Fractional Derivative and Its Applications in Fractional Differential Equations
Gao, Feng
Chi, Chunmei
JOURNAL OF FUNCTION SPACES, 2020, 2020
[28] Controllability of Differential Systems with the General Conformable Derivative
Azouz, Ferrag
Boucenna, Djalal
Ben Makhlouf, Abdellatif
Mchiri, Lassaad
Benchaabane, Abbes
COMPLEXITY, 2021, 2021
[29] Fractional electrical circuits
Alsaedi, Ahmed
Nieto, Juan J.
Venktesh, V.
ADVANCES IN MECHANICAL ENGINEERING, 2015, 7 (12):
[30] Newton's law of cooling with fractional conformable derivative
Ortega, A.
Juan Rosales, J.
REVISTA MEXICANA DE FISICA, 2018, 64 (02) : 172 - 175

← 1 2 3 4 5 →