Fractional calculus of complex order in complex domain has lately become accessible for study. Recent re-
search has focused primarily on fractional differential equations in real variables, with less emphasis paid to frac-
tional differential equations in complex variables. This paper discusses a fractional differential equation involving
fractional operators which is generalization of Reimann-Liouville fractional operators in the complex domain. We
have considered the unit disk as the domain of fractional differential equation. We have obtained the sufficient
conditions for the existence-uniqueness of solutions for fractional differential equation using fixed point theory.
Moreover, Ulam-Hyers stability is also discussed in this paper. To explain our findings, an illustrative example is
presented.