On holomorphic solutions for nonlinear singular fractional differential equations

摘要

The paper concerns with a nonlinear singular fractional differential equation: t~α~(e~αu(t,z))_(et~α)=F(t,z,u,~(eu)_(ez)),0<α<1,where t ∈ J := [0, l]and z ∈ U := {z ∈ C :| z |< 1). The existence and the uniqueness of holomorphic solution are established.