In this paper, we prove a result of existence and uniqueness solutions for the following class problem initial value differential equations with maxima Caputo?s fractional order on time scales: c??a u(?) = ?(?, u(?), max ??[a,?] u(?)), ? J := [a, b]T, 0 < 1, u(a) ?, We used techniques Picard weakly operators to obtain some data dependency parameters results.