LAUSR

This article describes electrical series circuits RC and RL using the concept of derivative with two fractional orders α and β in Liouville–Caputo sense. The fractional equations consider derivatives in the range of α , β ∈ ( 0 ; 1 ] . Numerical solutions are presented considering different source terms introduced in the fractional equation. This new approach considers electrical elements with two different properties. In addition, we prove that if α = 0 , the fractional derivative with Mittag-Leffler kernel in Liouville–Caputo sense is recovered, and when β = 0 , the Liouville–Caputo fractional derivative is recovered.