UNABLE TO EXTEND FLAPS; GLF4 DIVERTS TO SUITABLE ARPT FOR NO FLAP LNDG. AFTER ARR; FLAPS FUNCTION NORMALLY. FERRY ACFT TO MAINT FACILITY WITHOUT LOGBOOK WRITE-UP OR FERRY PERMIT.

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WHILE ON FINAL APCH; I DIRECTED THE FO TO MOVE THE FLAPS FROM 0 DEGS TO 10 DEGS. AFTER MOVING THE FLAP HANDLE; WE REALIZED THAT THE FLAPS DID NOT MOVE. WE CHKED OUR AIRSPD; RESET THE FLAP HANDLE AND THE FLAPS STILL WOULD NOT MOVE. I FLEW THE ACFT AND COMMUNICATED WITH ATC; WHILE THE FO HANDLED THE ALTERNATE FLAP EXTENSION CHKLIST. AFTER EXHAUSTING ALL POSSIBLE METHODS TO GET THE FLAPS DOWN; WE ELECTED TO DIVERT TO TAKE ADVANTAGE OF THE LONGER RWYS SINCE WE WERE NOW GOING TO BE LNDG WITH 0 DEGS OF FLAPS. WE SPECIFICALLY TOLD ATC THAT WE WERE NOT DECLARING AN EMER. HOWEVER; WHILE ON FINAL WE HEARD TALK OF EMER VEHICLES ON THE TXWYS. I DIRECTED THE FO TO CHK WITH ATC AND MAKE SURE THAT THE EMER VEHICLES WERE NOT FOR US. ATC THEN INFORMED US THAT IT WAS 'THEIR POLICY' TO DEPLOY THE EMER VEHICLES FOR ANY ACFT WITH A MECHANICAL PROB. WE PROCEEDED TO ZZZ FOR AN UNEVENTFUL NO-FLAP LNDG. ONCE ON THE GND; ATC ASKED IF WE REQUIRED ANY ASSISTANCE; TO WHICH WE REPLIED NO. WE THEN TAXIED TO THE FBO. WHILE TAXIING; THE FO TRIED MOVING THE FLAPS TO 10 DEGS AND THEY WORKED PROPERLY. HE THEN MOVED THEM TO 20 DEGS WITH NO PROB. WE LEFT THEM AT 20 DEGS AND SHUT DOWN THE ACFT UPON REACHING THE FBO. AFTER UNLOADING OUR PART 91 PAX; I CALLED OUR DIRECTOR OF MAINT TO DISCUSS THE FLAPS. I EXPLAINED THE SITUATION AND WE ALL AGREED THAT THE FLAPS SEEMED TO BE WORKING FINE AND THAT IT WAS PROBABLY A GLITCH WITH THEM. THEREFORE; I DID NOT WRITE THE PROB UP IN THE LOGBOOK. WE AGREED THAT THE ACFT WAS SAFE TO FLY; AT WHICH TIME OUR DIRECTOR OF MAINT TOLD US TO DISPATCH BACK TO ZZZ1 WHICH WAS ONLY A 45 MIN FLT. AS A PRECAUTION; WE ELECTED TO LEAVE THE FLAPS AT 20 DEGS AND FLY HOME AT A REDUCED AIRSPD SO THAT OUR MAINT TEAM COULD INSPECT THE FLAPS AND CONFIRM THAT THEY WERE OPERATING PROPERLY. ON APCH; THE FLAPS WORKED PROPERLY WHEN MOVED TO THE 39 DEG POS. THEY ALSO WORKED PROPERLY WHEN MOVED UP TO THE 0 DEG POS AFTER LNDG. THE ONLY POSSIBLE PROB WAS NOT WRITING UP THE FLAPS IN THE LOGBOOK AND HAVING THEM INSPECTED BEFORE CONTINUING HOME TO ZZZ1. HOWEVER; WE ALL BELIEVED THAT THE FLAPS WERE WORKING PROPERLY AND THEY DID WORK PROPERLY UPON RETURN TO HOME STATION.