can you tell me about its prayer section?
The exposed section of the wall faces a large plaza and is set aside for prayer, and is known as Wailing Wall.
Western Wall
The term Western Wall commonly refers to a exposed section of a much longer retaining wall, built by Herod on the western flank of the Temple Mount. Only when used in this sense is it synonymous with the term Wailing Wall. This section faces a large plaza and is set aside for prayer.

is the western wall in east or west jerusalem West Jerusalem is it known by any other name? Yes, it is known in Islam as the Buraq Wall does it have any religious influence? Yes, there is a much publicised practice of placing slips of paper containing written prayers into the crevices of the Wall. is the wall sectionized? Apart from the wall, there is the southern part and  the Little Western Wall.
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Western Wall [SEP] Prayer section vs. entire wall
The term Western Wall commonly refers to a exposed section of a much longer retaining wall, built by Herod on the western flank of the Temple Mount. Only when used in this sense is it synonymous with the term Wailing Wall. This section faces a large plaza and is set aside for prayer. In its entirety, the western retaining wall of the Herodian Temple Mount complex stretches for , most of which is hidden behind medieval residential structures built along its length. There are only two other revealed sections: the southern part of the Wall (see Robinson's Arch area), which measures approximately , and is separated from the prayer area by just a narrow stretch of archaeological remains; and another, much shorter section, known as the Little Western Wall, which is located close to the Iron Gate.