Nowadays, impedance converter and inverter circuits are very vital for the fractional order circuit design. Mutators are one of the common circuits used for that purpose. So, two fractional order mutators are discussed in this work; the first one converts a resistance into a fractional order element. The second mutator family converts any fractional order element to a different fractional order element. Circuit simulations for the mutator circuits using Advanced Design System (ADS) are performed and proved that the circuits are able to achieve the required phase response.