What is the Fractional Functional Central Limit theorem?

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What is the statement of the "Fractional Functional Central Limit theorem (FFCLT)"? There is a Functional Central Limit Theorem, also called Donsker's theorem. Which has a Wikipedia article .

I presume that FFCLT is connected to the above one, but I am not certain. The reason I am interested in this is that it is invoked in a paper without a clear reference to it, suggesting that the FFCLT is at least somewhat well known.