Abstract
This paper investigates the optimal control for a class of nonlocal fractional evolution equations of order gamma is an element of (1,2) in Banach spaces. An adequate definition of alpha -mild solutions is obtained and the existence, uniqueness and continuous dependence of alpha -mild solutions for the presented control system are also established. The existence of optimal pairs of nonlocal fractional evolution systems is also demonstrated with a view on the construction of the Lagrange problem. Finally, an example is propounded for the presentation of optimal control.