1. Some problems of mesh R−L electrical circuits using fractional calculus
- Author
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Changdev P. Jadhav, Tanisha B. Dale, Vaijanath L. Chinchane, Asha B. Nale, Sabri T.M. Thabet, Imed Kedim, and Miguel Vivas-Cortez
- Subjects
Caputo fractional derivative ,Laplace transform ,Mesh R-L electrical circuit ,Engineering (General). Civil engineering (General) ,TA1-2040 - 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.
- Published
- 2025
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