We have calculated the temperature dependent drag and diffussion coefficients of heavy quarks and nuclear modification factor (RAA) of heavy mesons (D and B mesons) by considering the energy gain due to chromo-electromagnetic field fluctuations along with collisional and radiative energy loss of charm and beauty quarks in the hot and dense deconfined medium of quarks and gluons created in relativistic heavy ion collisions. Our results are in good agreement with the experimentally measured RAA of D and B mesons by ALICE and CMS experiments at √sNN = 2.76 TeV and √sNN = 5.02 TeV.