Optimal control of nonlocal fractional evolution equations in the ?-norm of order $(1,2)$

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