This paper provides an analysis of RC and RL electrical circuits described by a fractional difierential equation of Caputo type. The order considered is 0 < gamma <= 1. The Laplace transform of the fractional derivative is used. To keep the dimensionality of the physical quantities, R, C, L, and an auxiliary parameter sigma are introduced, characterizing the existence of fractional components in the system. The relationship between gamma and sigma is reported. The response obtained from the fractional RC and RL circuits exhibits the characteristic behaviors of a cap-resistor, memcapacitor, and memristor, as well as charge-voltage for memcapacitive systems and current-voltage for memristive systems. The relationship between Ohm's law and Faraday's laws for the charge stored in a capacitor and induction is reported. Illustrative examples are presented.