COVID-19 has been an outbreak since December 2019 all around the world. There exist many studies in literature that examines the future of the pandemic and the effect of control strategies via mathematical modeling. Main aim of mathematical modeling in epidemiology and health sciences is applying the theory to real world health problems. In this paper, world population is divided into four compartments for the construction of SVIR model. That is, it is assumed that population consists of susceptible (S), vaccinated (V), infected (I), and recovered (R) individuals. Fractional mathematical models are very popular nowadays since it counts previous state of problems. While the construction of this model, fractional derivative is added with the purpose of seeing memory effect.