We consider multi-input single-output (MISO) fractional systems of commensurate fractional orders with different input or output delays. We derive explicit expressions of left and right coprime factorizations over Hr and of the associated Bezout factors of the transfer matrix of the systems. These factors allow the construction of the Youla-Kteera parametrization of the set of stabilizing controllers which guarantee the internal stability of the closed-loop systems. (C) 2017 Elsevier Ltd. All rights reserved.