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In this article, we show the existence of a unique entropy solution to the following problem:where the domainis bounded and contains the origin,,,,  sp &lt; N ,,for  q &gt;1 and  h  is a general singular function with singularity at 0. Further, the fractional  p -Laplacian with weight  α  is given by

A weighted fractional problem involving a singular nonlinearity and an L 1 datum