What was found
TPA INFLIGHT - DURING CLIMB RIGHT ENGINE FIRE WARNING ILLUMINATED. WARNING WENT OUT AND ILLUMINATED AGAIN TWO TIMES THEN WENT OFF. ALL GAUGES WERE NORMAL ON BOTH ENGINE. FIRE BOTTLES WERE NOT DISCHARGED. RETURNED TO TPA AND LANDED WITHOUT INCIDENT. FOUND BLOWN DUCT ON RIGHT ENGINE INBOARD ANTI ICE VALVE AT AFT SIDE OF VALVE. REPLACED ANTI ICE VALVE DUCT AT AFT SIDE OF VALVE ON NUMBER TWO ENGINE. SYSTEM GROUND CHECKED NORMAL OPERATION.