Which Mongol khanate controlled Central Asia?

The Chagatai Khanate controlled much of Central Asia after the Mongol Empire's territories were divided among Genghis Khan's descendants. It was named after Chagatai, Genghis Khan's second son, whose appanage covered lands in and around Transoxiana and the Chagatai steppe.

The khanate emerged during the 13th century and included areas corresponding broadly to modern Uzbekistan, southern Kazakhstan, Kyrgyzstan, Tajikistan, and parts of Afghanistan and Xinjiang, though its borders changed substantially over time. Its rulers governed a crossroads linking the settled cities of Central Asia with the nomadic steppe.

The Chagatai Khanate was not a permanently unified state. Internal struggles between nomadic Mongol elites and settled Muslim populations weakened it, and its western and eastern territories increasingly developed apart. The western region later became associated with Transoxiana, while the eastern lands were known as Moghulistan. The Yuan dynasty ruled China and Mongolia, the Golden Horde dominated the western steppe, and the Ilkhanate ruled much of Iran and Iraq, making them the key alternatives in this question.