Do the sons of the deceased brother inherit from their uncle who has no wife, or children, or parents, and who has full brothers?

If your uncle's heirs are only his full brothers and his nephews (brothers' sons), then the full brothers inherit, and the nephews do not, because they are excluded by the brothers. It is recommended for the brothers to give their nephews something from the inheritance when it is divided. The matter of inheritances is serious and complex, and one should not rely solely on a fatwa; rather, it must be referred to the Sharia courts for investigation.