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