Timur, like Alexander and Genghis Khan was a great conqueror who brought a very vast area of land under his control, but failed to establish a lasting empire. Alexander died too young and did not get enough time to establish himself as an administrator. Hence his generals partitioned the empire among themselves.
Genghis Khan divided his empire among his sons Chagatai, Ogedei and Tolui and the children of his eldest son Jochi who predeceased him. Ogedei was made the Great Khan. His grandson Kublai Khan unified China under him.
Timur also swept like a hurricane destroying everything in his path, but he earned the name of a destroyer more than Alexander or Genghis Khan. His son Shahrukh who followed him was not able like his father. The methods followed by Timur like what he did in Delhi, killing several thousands of people and forming a hill of skulls, never helped empire building. Babur who established the Mughal Dynasty was a descendant of Timur and also Genghis Khan.