I haven't fully mastered the frothing part, but I find I do like Turkish coffee.
My mistake may be that I have stirred the coffee to mix it well with the water before heating.
Apparently you are supposed to let the coffee and sweetener float on top as the water heats.
The heating water will cause the coffee to sink and dissolve, and then you can stir a small amount just to make sure the sugar is mixed properly.
Or maybe my error has been letting the water get to a boil.
You have to stave off boiling to get that frothing stage.
Turkish coffee is never supposed to actually boil.