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In this paper, we use the Banach fixed point theorem to obtain the existence, interval of existence and uniqueness of solutions for nonlinear hybrid implicit Caputo-Hadamard fractional differential equations. We also use the generalization of Gronwall's inequality to show the estimate of the solutions.doi:10.30538/psrp-oma2019.0044 fatcat:2ou2a5rgi5b3xemmzf2katwxuu