When Tisha B’Ab begins on Mosa’eh Shabbat (as it does this year), then we do not recite the standard Habdala on Mosa’eh Shabbat. Instead, we recite only the Beracha over a flame ("Boreh Me’oreh Ha’esh"). We do not recite the Beracha over spices ("Boreh Mineh Besamim"), because we should not be allowing ourselves this special enjoyment of smelling fragrant spices on Tisha B’Ab.
On Sunday night, when Tisha B’Ab ends, we recite Habdala starting with "Kos Yeshuot Esa" and the Beracha over wine, followed by the Beracha of "Ha’mabdil." We do not recite the Beracha over the flame, which was recited the previous night, and we do not recite the Beracha over spices, because this Beracha is recited only to compensate for the loss of our Neshama Yetera ("extra soul") when Shabbat ends. The departure of this soul creates a vacuum, of sorts, within us, which we seek to fill by smelling spices. (It has thus been explained that we do not recite the Beracha over spices on Mosa’eh Shabbat that is Yom Tob, because we have a Neshama Yetera on Yom Tob just like on Shabbat. Others claim that the Yom Tob meals fill the vacuum created by the loss of the extra soul, and so we do not require spices.) As the Beracha is relevant only on Mosa’e Shabbat, once we are unable to recite this Beracha on Mosa’eh Shabbat – as is the case when Tisha B’Ab falls on Mosa’eh Shabbat – there is no reason to recite it on Sunday night.
We also omit in the Habdala after Tisha B’Ab the introductory verses that we normally recite before the Beracha over wine in Habdala. These verses are recited as an expression of our hopes for good fortune as we begin the week. We therefore do not recite these verses when Habdala is recited on Sunday night, as the week has already begun.
It thus emerges that on Mosa’eh Tisha B’Ab we recite a very brief Habdala: "Kos Yeshuot Esa," "Sabri Maranan," "Boreh Peri Ha’gefen," and "Ha’mabdil."
It should be noted that one who needs to eat on Tisha B’Ab must first recite Habdala before eating. This applies to ill patients, as well as to pregnant and nursing women, who are not required to fast when Tisha B’Ab falls on Shabbat and is delayed until Sunday. Hacham Ovadia ruled that these women, who are absolved from the fast, may eat immediately on Mosa’eh Shabbat, and thus should recite Habdala after Shabbat. Even in this case, the introductory verses and the Beracha over spices are omitted, as they are inappropriate for Tisha B’Ab. Of course, the women in this case include the Beracha over a flame just as on an ordinary Mosa’eh Shabbat.
Summary: When Tisha B’Ab begins on Mosa’eh Shabbat, we recite the Beracha over the flame ("Boreh Me’oreh He’esh") on Mosa’eh Shabbat, but not the rest of Habdala. On Sunday night, after Tisha B’Ab, we recite an abridged Habdala, starting from "Kos Yeshuot Esa." Those who absolved from the fast – such as pregnant and nursing women – recite this abridged Habdala, with the Beracha over the flame, on Mosa’eh Shabbat, and may then eat.
