A ZFW CTLR RPT ON A NEAR LOSS OF SEPARATION BTWN AN FK100 AND AN F900 WHEN THE FK100 CREW SLOWED DOWN FOR TURB AND NEVER ADVISED ATC OF THE PROB 40 MI W OF ZFW; TX.

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FIRST ACFT; FK100; WAS ASSIGNED 290 KTS TO STAY AHEAD OF F900 WHO WAS ASSIGNED 250 KTS. FK100 SPD DROPPED OFF. THE 2 CTLRS WORKING THE SECTOR SAW IT AND QUESTIONED THE PLT JUST AS THE CONFLICT ALERT ACTIVATED. FK100 RESPONDED THAT HE HAD SLOWED DOWN TO 240 KTS. BECAUSE OF TURB; THE FK100 NEVER ADVISED US OF THE TURB NOR THE SPD REDUCTION UNTIL WE QUESTIONED THE OCCURRENCE. I STOPPED THE F900 BELOW THE F100. SUPPLEMENTAL INFO FROM ACN 489498: DURING THE DEP; PASSING THROUGH 16000 FT; WE STARTED PICKING UP LIGHT TO MODERATE TURB AND IT INCREASED THROUGH FL230. DURING THAT TIME PERIOD; SOMEWHAT DUE TO THE TURB AND DUE TO MY CONCERN FOR THE FLT ATTENDANTS' SAFETY; I INCREASED OUR RATE OF CLB TO REDUCE THE EFFECT OF THE TURB AND TO GET OUT OF IT ASAP. I REALIZED THEN THAT WE FAILED TO NOTIFY ATC THAT WE WERE SLOWING DOWN DUE TO TURB. ENRTE TO AMA; CTR ASKED US TO CALL ZFW. UPON ARR AT AMA; I CALLED AND TALKED WITH THE MGR ON DUTY AND EXPLAINED THE SIT. HE SAID THAT OUR SLOWING DOWN HAD INTERFERED WITH A FALCON AND HE WOULD HAVE TO SUBMIT A RPT TO QUALITY ASSURANCE. SAID THEY HAD FILED A NASA RPT AS THERE WERE SOME PROBS ON THEIR SIDE AS WELL. SUPPLEMENTAL INFO FROM ACN 489499: I WAS COMPLETING CHKLISTS WHEN WE RECEIVED A CALL FROM ATC ASKING US OUR AIRSPD.