Optimal Feedback Control of Fractional Semilinear Integro-differential Equations in The Banach Spaces

Subject Areas : International Journal of Industrial Mathematics

سهراب  ولی زاده ¹ (گروه ریاضیات و کاربردها، دانشکده علوم، دانشگاه محقق اردبیلی، اردبیل، ایران.)
عبدالله  برهانی فر ² (گروه ریاضیات و کاربردها، دانشکده علوم، دانشگاه محقق اردبیلی، اردبیل، ایران.)
محمد رضا  عبدالله پور ³ (گروه ریاضیات و کاربردها، دانشکده علوم، دانشگاه محقق اردبیلی، اردبیل، ایران.)

Received: 2019-12-14 Accepted : 2020-07-23 Published : 2020-08-01

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

Abstract :

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.

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