Some problems of mesh R−L electrical circuits using fractional calculus

Changdev P. Jadhav; Tanisha B. Dale; Vaijanath L. Chinchane; Asha B. Nale; Sabri T.M. Thabet; Imed Kedim; Miguel Vivas-Cortez

doi:10.1016/j.aej.2024.11.102

Some problems of mesh R−L electrical circuits using fractional calculus

Changdev P. Jadhav, Tanisha B. Dale, Vaijanath L. Chinchane, Asha B. Nale, Sabri T.M. Thabet, Imed Kedim, Miguel Vivas-Cortez

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we investigate the analytical method that is used to find the current in different types of R−L electrical mesh circuits containing the loop 1 and loop 2 by using the Laplace transform. The differential equations for the electrical circuits are formulated by using Kirchhoff's voltage law. The Caputo fractional derivative is used as a differential operator. Moreover, we provide some examples of electrical circuits containing two resistors and two inductors connected in each loop using the presented results.

Original language	English
Pages (from-to)	111-118
Number of pages	8
Journal	Alexandria Engineering Journal
Volume	115
DOIs	https://doi.org/10.1016/j.aej.2024.11.102
State	Published - Mar 2025

Keywords

Caputo fractional derivative
Laplace transform
Mesh R-L electrical circuit

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10.1016/j.aej.2024.11.102

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title = "Some problems of mesh R−L electrical circuits using fractional calculus",

abstract = "In this paper, we investigate the analytical method that is used to find the current in different types of R−L electrical mesh circuits containing the loop 1 and loop 2 by using the Laplace transform. The differential equations for the electrical circuits are formulated by using Kirchhoff's voltage law. The Caputo fractional derivative is used as a differential operator. Moreover, we provide some examples of electrical circuits containing two resistors and two inductors connected in each loop using the presented results.",

keywords = "Caputo fractional derivative, Laplace transform, Mesh R-L electrical circuit",

author = "Jadhav, \{Changdev P.\} and Dale, \{Tanisha B.\} and Chinchane, \{Vaijanath L.\} and Nale, \{Asha B.\} and Thabet, \{Sabri T.M.\} and Imed Kedim and Miguel Vivas-Cortez",

note = "Publisher Copyright: {\textcopyright} 2024 The Authors",

year = "2025",

month = mar,

doi = "10.1016/j.aej.2024.11.102",

language = "English",

volume = "115",

pages = "111--118",

journal = "Alexandria Engineering Journal",

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T1 - Some problems of mesh R−L electrical circuits using fractional calculus

AU - Jadhav, Changdev P.

AU - Dale, Tanisha B.

AU - Chinchane, Vaijanath L.

AU - Nale, Asha B.

AU - Thabet, Sabri T.M.

AU - Kedim, Imed

AU - Vivas-Cortez, Miguel

PY - 2025/3

Y1 - 2025/3

N2 - In this paper, we investigate the analytical method that is used to find the current in different types of R−L electrical mesh circuits containing the loop 1 and loop 2 by using the Laplace transform. The differential equations for the electrical circuits are formulated by using Kirchhoff's voltage law. The Caputo fractional derivative is used as a differential operator. Moreover, we provide some examples of electrical circuits containing two resistors and two inductors connected in each loop using the presented results.

AB - In this paper, we investigate the analytical method that is used to find the current in different types of R−L electrical mesh circuits containing the loop 1 and loop 2 by using the Laplace transform. The differential equations for the electrical circuits are formulated by using Kirchhoff's voltage law. The Caputo fractional derivative is used as a differential operator. Moreover, we provide some examples of electrical circuits containing two resistors and two inductors connected in each loop using the presented results.

KW - Caputo fractional derivative

KW - Laplace transform

KW - Mesh R-L electrical circuit

UR - http://www.scopus.com/inward/record.url?scp=85211755301&partnerID=8YFLogxK

U2 - 10.1016/j.aej.2024.11.102

DO - 10.1016/j.aej.2024.11.102

M3 - Article

AN - SCOPUS:85211755301

SN - 1110-0168

VL - 115

SP - 111

EP - 118

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

ER -

Some problems of mesh R−L electrical circuits using fractional calculus

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Keywords

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