Abstract submitted to the XVIII International Workshop on Deep-Inelastic Scattering and Related Subjects, DIS 2010 19-23 April, 2010, Florence, Italy _________________________________________________________________________ Diffractive PDF fits at HERA ZEUS Collaboration Abstract ZEUS inclusive diffractive cross-section measurements have been used in a DGLAP next-to-leading-order QCD analysis to extract the diffractive parton distribution functions. Data on diffractive dijet production in deep inelastic scattering have also been included to constrain the gluon density. Predictions based on the extracted parton densities are compared to diffractive charm and dijet photoproduction data.