Exponential corrected thermodynamics of black holes

Recently, it is reported that thermal fluctuations, which are interpreted as quantum effects, modify the black holes entropy by an exponential term. We now find effect of such modification on hole mass and other thermodynamics quantities. Schwarzschild decreased fluctuations. Hence, we study corrected statistics computing partition function. obtain special condition event horizon radius to satisfy Smarr-Gibbs-Duhem relation in presence correction. As know, unstable, while correction stability $4D$ well Schwarzschild-AdS at a small area. On hand, $5D$ completely unstable. The Reissner-Nordstr\"{o}m instability scales. Finally, consider most general case charged AdS thermodynamics.