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The electron-doped silicene under the influence of the biaxial tensile strainis predicted to be the phonon-mediated superconductor. By using the Eliashbergformalism, we investigate the thermodynamic properties of the superconductingsilicene in the case when the tension is $5\%$ and the electron doping equals$3.5\times10^{14}~{\rm cm^{-2}}$. Under such conditions, silicene monolayer isexpected to exhibit the highest superconducting transition temperature ($T_C$).In particular, based on the electron-phonon spectral function and assuming widerange of the Coulomb pseudopotential values($\mu^{\star}\in\left\langle0.1,0.3\right\rangle$) it is stated that thesuperconducting transition temperature decreases from $18.7$ K to $11.6$ K.Similar behavior is observed in the case of the zeroth temperaturesuperconducting energy gap at the Fermi level: $2\Delta(0)\in\left\langle6.68,3.88\right\rangle$ meV. Other thermodynamic parameters differ from thepredictions of the Bardeen-Cooper-Schrieffer theory. In particular, the ratioof the energy gap to the critical temperature changes in the range from $4.14$to $3.87$. The ratio of the specific heat jump to the specific heat in thenormal state takes the values from $2.19$ to $2.05$, and the ratio of thecritical temperature and specific heat in the normal state to the thermodynamiccritical field increases from $0.143$ to $0.155$. It is also determined thatthe maximum value of the electron effective mass equals $2.11$ of the electronband mass.

Study of the superconducting phase in silicene under biaxial tensile strain