Depends on what variety of English you speak whether the term Asian normally includes Indians or not.

For Brits, Asian primarily means "From the Indian Subcontinent" which includes Pakistan for them, IIRC.

For Americans, Asian primarily means "From East Asia" which is China, Japan, Korea, and Southeast Asia.

Of course, in an academic context, Asian means "Anyone from the Asian Continent" which includes some but not all Russians, all South Asians, all East Asians, all Central Asians, all Middle Easterners (except Egyptians), and whoever else depending on how certain lines get drawn.