Exact Controllability of Abstract Fractional Evolution Systems

He Yang ()
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He Yang: Northwest Normal University

Journal of Optimization Theory and Applications, 2024, vol. 200, issue 3, No 13, 1239-1254

Abstract: Abstract This paper studies the exact controllability of semilinear $$q\in (1,2)$$ q ∈ ( 1 , 2 ) -order fractional evolution systems with a weighted delay initial condition in abstract spaces. Firstly, with the aid of properties of the strongly continuous cosine family, the expression of mild solutions of the concerned problem is presented. Exact controllability results are achieved under essential conditions on f. An example as an application is also given.

Keywords: Abstract fractional evolution systems; Weighted delay initial conditions; Riemann–Liouville fractional derivative; Exact controllability; The cosine family theory; 34K30; 34K35; 93C25 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10957-023-02373-3

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