We study the (3+1) dimensional p-wave holographic superconductors with Weyl corrections both numerically and analytically. We describe numerically the behavior of critical temperature $T_{c}$ with respect to charge density $rho$ in a limited range of Weyl coupling parameter $gamma$ and we find in general the condensation becomes harder with the increase of parameter $gamma$. In strong coupling limit of Yang-Mills theory, we show that the minimum value of $T_{c}$ obtained from analytical approach is in good agreement with the numerical results, and finally show how we got remarkably a similar result in the critical exponent 1/2 of the chemical potential $mu$ and the order parameter$<J^1_x>$ with the numerical curves of superconductors.
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