Commonly known as “stuttering” or “stammering” among other terms, fluency disorder is defined asfollows by ASHA;
A fluency disorder is an interruption in the flow of speaking characterized by atypical rate, rhythm, and repetitions in sounds, syllables, words, and phrases. This may be accompanied by excessive tension, struggle behavior, and secondary mannerisms.
This is a category of service that shows a wide variety of philosophy by treating professionals. If you consider the “narrative approach” which aims to develop healthy and realistic coping skills to live in control of the existing fluency disorder, then you found a match.