  In this paper, we study the effects of thermal fluctuations for
Reissner-Nordstr\"om-AdS (RNAdS) black hole. We obtain the corrected
thermodynamic quantities such as entropy, temperature, equation of state and
heat capacities in the presence of thermal fluctuations. We also investigate
the phase transition of RN-AdS black hole for thermal fluctuations. Finally we
compute the critical exponents for small thermal fluctuations. We show that
critical exponents are the same as critical exponents without thermal
fluctuations.
