A:
It is a Bid`ah (innovation in religion) to single out the night of `Eid to offer Qiyam-ul-Layl (optional Prayer at night) to the exclusion of all other nights, whether by offering it alone or in congregation. This was not authentically reported from the Prophet (peace be upon him), who stated:
Anyone who does an action which is not stated in this matter of ours (Islam) will have it rejected.
However, if a person is accustomed to offering Qiyam-ul-Layl, they may observe their habit on the night of `Eid on the condition that offering Qiyam-ul-Layl is done alone and not in congregation. The night of `Eid is not part of Ramadan if the beginning of Shawwal is confirmed.May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.