Geodesic
Finite-dimensional exact controllability of an abstract semilinear fractional composite relaxation equation
Filomat, Tome 37 (2023) no. 8, p. 2347

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DOI

In Hilbert space, the finite-dimensional exact controllability of an abstract semilinear fractional composite relaxation equation is researched. We make assumptions about the parameters in the equation and suppose that the linear equation associated with the abstract semilinear fractional relaxation equation is approximately controllable. We apply the variational method, the resolvent theory and the fixed point trick to demonstrate the finite-dimensional exact controllability of the abstract semilinear equation. An application is given in the last paper to testify our results.
DOI : 10.2298/FIL2308347L
Classification : 93B05, 26A33, 34K37, 47A10
Keywords: Semilinear fractional composite relaxation equations, Resolvent theory, Approximate controllability, Variational method, Finite-dimensional exact controllability 
Yixing Liang; Zhenbin Fan; Gang Li. Finite-dimensional exact controllability of an abstract semilinear fractional composite relaxation equation. Filomat, Tome 37 (2023) no. 8, p. 2347 . doi: 10.2298/FIL2308347L
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     author = {Yixing Liang and Zhenbin Fan and Gang Li},
     title = {Finite-dimensional exact controllability of an abstract semilinear fractional composite relaxation equation},
     journal = {Filomat},
     pages = {2347 },
     year = {2023},
     volume = {37},
     number = {8},
     doi = {10.2298/FIL2308347L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2308347L/}
}
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