In　this　article,　we　study　inhomogeneous　fractional　abstract　differential　equations　in　Banach　spaces.　We　prove　the　existence　and　uniqueness　of　strong　solutions　of　an　inhomogeneous　fractional　differential　equation,　when　the　coefficient　operator　of　the　equation　generates　an　fractional　semigroup.　Under　some　general　conditions,　we　obtain　the　existence　and　uniqueness　of　mild　solutions　of　another　inhomogeneous　fractional　differential　equation　with　nonlinear　perturbations　and　nonlocal　conditions.