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

Facultad de Ciencias Exactas y Naturales

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	111-118
Número de páginas	8
Publicación	Alexandria Engineering Journal
Volumen	115
DOI	https://doi.org/10.1016/j.aej.2024.11.102
Estado	Publicada - mar. 2025

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© 2024 The Authors

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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",

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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

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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

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