“…Comparatively little is known for purely fractional SDEs, i.e. b ≡ 0, with discontinuous drift coefficient; see [1,13,25] for the case H > 1 2 . In [13, Theorem 3.5.14] the existence of a strong solution is proven for purely fractional SDEs with additive noise, where the drift coefficient is given by the discontinuous function a(x) = sign (x) for all x ∈ R and the Hurst index H is restricted to H ∈ 1 2 , (1 + √ 5)/4 ; see also [14, Theorem 1] for a related result.…”