A CRJ900 CAPT RPTS COMS AND PERFORMANCE ERRORS FROM FATIGUE BTWN THE 13TH AND 17TH HRS ON THE 4TH DAY OF A 5 DAY TRIP.

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STARTED THE DAY AT XA20 FOR A 5 LEG DAY AND 14 HR 6 MIN DUTY DAY. THE FIRST 3 LEGS WENT WITHOUT INCIDENT. AFTER A 2 HR 42 MIN SIT AND A LATE ARRIVING; WE DID A CREW CHANGE AND QUICK-TURN FROM ZZZ2 TO ZZZ3. THEN ATC INFORMED US OF A FLOW TIME WHEELS UP TIME OF XM24. OUR ORIGINAL DEP TIME WAS XL00. WE TOOK OFF AT XM20 AND IN CRUISE 20 MI SW OF ABC; REALIZED THAT WE NEEDED TO START DOWN FOR ZZZ3 FROM FL280. ATC INFORMED US THAT WE HAD MISSED OUR FREQ CHANGE AND AFTER 4 FREQ CHANGES WE GOT ON WITH CENTER TO START OUR DSCNT. WE MADE OUR DSCNT WITH NO PROB BUT WE MISSED OUR FREQ CHANGES. WE WERE BOTH GETTING A LITTLE TIRED FROM OVER 12 HRS ON DUTY; AND FATIGUE WAS SETTING IN. WE LANDED WITHOUT INCIDENT. WE PUSHED FROM THE GATE IN ZZZ3 FOR OUR RETURN FLT BACK TO ZZZ2 AT XO25. THIS IS 13 HRS OF DUTY AND COUNTING. WE ARE WITH ZZZ2 APCH BEING VECTORED FOR RWY 36R THE FO BRIEFS RWY 36L INSTEAD AND I DO NOT CATCH IT. HE PROGRAMS RWY 36L IN THE FMS AS WELL. ALL THE RADIO INSTRUCTIONS AND READBACK CALLS ARE FOR RWY 36R BUT WE END UP INTERCEPTING THE RWY 36L LOC. APCH NEVER CATCHES THIS EITHER; THE TWR CTLR TELLS US TO TURN R TO 030 DEGS TO INTERCEPT THE RWY 36R LOC BECAUSE WE INTERCEPTED THE RWY 36L LOC INSTEAD. THERE WERE NO OTHER ACFT IN THE AREA FOR A CONFLICT; BUT WE CLRLY MADE A GLARING MISTAKE. WE LANDED ON RWY 36R WITHOUT INCIDENT AND BLOCKED IN AT XQ10. 15 MINS OF POSTFLT DUTY AND OUR DAY WAS 15 HRS 5 MINS OF DUTY TIME ON OUR 4TH DAY OF 5 DAYS OF FLYING. FATIGUE WAS DEFINITELY IN PLAY HERE; ALONG WITH US TRYING TO STAY ALERT; WHICH WE FAILED TO DO SO.