What is the name of the Aladdin world in Kingdom Hearts?

The name of the Aladdin world in Kingdom Hearts is Agrabah.

Agrabah is the Kingdom Hearts setting based on Disney's Aladdin. It is a desert city and surrounding wilderness where Sora meets Aladdin, Princess Jasmine, and the Genie. Like the other Disney-based worlds, it adapts recognizable locations and characters while fitting them into the larger Kingdom Hearts story.

In the original game, Sora travels through areas including the city, Aladdin's House, the Cave of Wonders, and the desert. The world also contains a Keyhole that Sora seals to protect it from being consumed by the Heartless. Jafar and Maleficent's villainous alliance create the main threat during the visit.

Agrabah returns in Kingdom Hearts II and covers material connected to both Aladdin and The Return of Jafar. It is easy to confuse the setting with other Disney worlds such as Atlantica or Halloween Town, but those are based on The Little Mermaid and The Nightmare Before Christmas respectively. Agrabah is the canonical Kingdom Hearts name for Aladdin's world.