S. Valizadeh - Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, ‎Iran‎.
A. Borhanifar - Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, ‎Iran‎.
M. R. Abdollahpour - Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran.

Recently, there has been significant development in the existence of mild solutions for fractional semilinear integro-differential equations but optimal control is not provided. The aim of this paper is studying optimal feedback control for fractional semilinear integro-differential equations in an arbitrary Banach space associated with operators generating compact semigroup on the Banach space.

Optimal feedback control, Fractional integro-differential equations, Mild solutions, Feasible pairs