Optimal Feedback Control of Fractional Semilinear Integro-differential Equations in The Banach Spaces
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
S. Valizadeh
1
(
Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran.
)
A. Borhanifar
2
(
Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran.
)
M. R. Abdollahpour
3
(
Department of Mathematics and Applications, Faculty of Sciences, University of Mohaghegh Ardabili, Ardabil, Iran.
)
کلید واژه: Mild solutions, Feasible pairs, Optimal feedback control, Fractional integro-differential equations,
چکیده مقاله :
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.
اخیرا، پیشرفت قابل توجهی در وجود جوابهای خفیف معادلات انتگرو-دیفرانسیل شبه خطی کسری صورت گرفته است ولی کنترل بهینه ارائه نشده است. هدف این مقاله، بررسی کنترل بازخورد بهینه معادلات انتگرو-دیفرانسیل شبه خطی کسری در یک فضای دلخواه باناخ مجهز به عملگرهای نیم گروه فشرده گسترش یافته است.
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