do those special episodes have any name?
Yes, "The Night of the Doctor" and "The Last Day".
Doctor Who (2013 specials)
Two supplemental episodes were also filmed alongside the specials; "The Night of the Doctor" and "The Last Day" were both produced as lead-in mini-episodes for the 50th anniversary special, and were released online days before the special's broadcast.
where do the doctor who specials fit into the series The two special broadcast episodes were initially released in separate home media sets, before being released together alongside the mini-episodes in a collector's boxset.
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Doctor Who (2013 specials) [SEP] Introduction
The 2013 specials of the British science fiction television programme "Doctor Who" are two additional episodes following the programme's seventh series. In addition to the traditional Christmas episode broadcast on 25 December 2013, a feature of the revived series since 2005, there was also a special celebrating the 50th anniversary of the programme broadcast on 23 November 2013, both airing on BBC One. Filming of "The Day of the Doctor" began in April 2013, and production of the Christmas episode, "The Time of the Doctor", began in September 2013. Two supplemental episodes were also filmed alongside the specials; "The Night of the Doctor" and "The Last Day" were both produced as lead-in mini-episodes for the 50th anniversary special, and were released online days before the special's broadcast.