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

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