This work deals with the fractional delay nonlinear integrodifferential controlled system
where denotes the Caputo fractional derivative of order , is the infinitesimal generator of an analytic semigroup of uniformly bounded linear operators on a separable reflexive Banach space , is -value function and is -value function. Here is a Banach space with the norm for , takes values from another separable reflexive Banach space , is a linear operator from into , and represents the history of the state from time up to the present time , defined by . The authors prove the existence and uniqueness of -mild solutions for , and the continuous dependence result of these solutions. The Lagrange problem of system is also formulated and an existence result of optimal controls is presented. To illustrate the obtained results, an example is finally addressed.