“…Comparatively little is known for purely fractional SDEs, i.e. , with discontinuous drift coefficient; see [1, 13, 25] for the case . 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 for all and the Hurst index H is restricted to ; see also [14, Theorem 1] for a related result.…”