Abstract
The paper concerns with a nonlinear singular fractional differential equation: t α ∂ α u ( t , z ) ∂ t α = F ( t , z , u , ∂ u ∂ z ) , 0 < α < 1 , where t ∈ J : = [ 0 , 1 ] and z ∈ U : = { z ∈ C : ∣ z ∣ < 1 } . The existence and the uniqueness of holomorphic solution are established.
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