In this Brief Report, we analyze the superconducting properties of doped single-and double-layer graphene systems by taking into account the fluctuations of the superconducting order parameter. Our analysis is rather general, and corresponds to a phenomenological electron-electron ͑hole-hole͒ attraction defined by its strength and range, and is independent of the origin of attraction. We show that in this model, similar to the case of two-dimensional doped metal, the thermal fluctuations of the order-parameter result in a significant reduction in the Berezinskii-Kosterlitz-Thouless critical temperature T c comparing to the mean-field temperature T c MF , and there is a pseudogap phase with a suppressed density of states at temperature range T c Ͻ T Ͻ T c MF . At low doping n f , the critical temperature is proportional to n f in the double-layer case, and it is exponentially suppressed in the case of a single layer.