TY - JOUR AU - Niazi, Azmat Ullah Khan AU - Iqbal, Naveed AU - Mohammed, Wael W. PY - 2021 DA - 2021/02/27 TI - Optimal control of nonlocal fractional evolution equations in the α-norm of order $(1,2)$ JO - Advances in Difference Equations SP - 142 VL - 2021 IS - 1 AB - This paper investigates the optimal control for a class of nonlocal fractional evolution equations of order $\gamma \in (1,2)$in Banach spaces. An adequate definition of α-mild solutions is obtained and the existence, uniqueness and continuous dependence of α-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. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-021-03312-0 DO - 10.1186/s13662-021-03312-0 ID - Niazi2021 ER -