Analytical solutions of electrical circuits considering certain generalized fractional derivatives

The paper addresses the analytical solutions for the RL, LC, RC and RLC electrical circuits described by the left generalized fractional derivative operator and the Caputo left generalized fractional derivative. The ρ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \rho$\end{document}-Laplace transform introduced by Fahd and Thabet was used to obtain the analytical solutions of the electrical circuit equations described by certain generalized fractional derivative operators. Finally, we present some numerical simulations of the analytical solutions of the RL, LC, RC and RLC electrical circuit equations described by certain generalized fractional derivatives.