Babylonia remained under the control of the Parthians, and later, Sassanians until about 640 AD, when it was conquered by the Islamic Rashidun Caliphate.
Babylonia remained under the control of the Parthians, and later, Sassanians when it was subsumed into Assuristan (Assyria). In about 640 ADit was conquered by the Islamic Rashidun Caliphate.