In　this　article,　we　discuss　the　existence　and　uniqueness　of　positive　solution　for　a　class　of　singular　fractional　differential　equations,　where　the　nonlinear　term　contains　fractional　derivative　and　an　operator.　By　applying　the　fixed　point　theorem　in　cone,　we　get　the　existence　and　uniqueness　of　positive　solutions　for　the　fractional　differential　equation.　Moreover,　we　give　an　example　to　demonstrate　our　main　result.