In this work a fractional differential equation for the electrical RLC circuit is studied. The order of the derivative being considered is 0 < gamma a parts per thousand currency sign 1. To keep the dimensionality of the physical quantities R, L and C an auxiliary parameter gamma is introduced. This parameter characterizes the existence of fractional components in the system. It is shown that there is a relation between and sigma through the physical parameters RLC of the circuit. Due to this relation, the analytical solution is given in terms of the Mittag-Leffler function depending on the order of the fractional differential equation.