Controllability for Retarded Semilinear Neutral Control Systems of Fractional Order in Hilbert Spaces

Daewook Kim and Jin-Mun Jeong
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Daewook Kim: Department of Mathematics Education, Seowon University, Cheongju 28674, Korea
Jin-Mun Jeong: Department of Applied Mathematics, Pukyong National University, Busan 48513, Korea

Mathematics, 2021, vol. 9, issue 6, 1-17

Abstract: In this paper, we discuss the approximate controllability for a class of retarded semilinear neutral control systems of fractional order by investigating the relations between the reachable set of the semilinear retarded neutral system of fractional order and that of its corresponding linear system. The research direction used here is to find the conditions for nonlinear terms so that controllability is maintained even in perturbations. Finally, we will show a simple example to which the main result can be applied.

Keywords: approximate controllability; fractional order differential equation; retarded neutral system; semilinear system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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