Affiliation:
1. School of Mathematical Sciences, Yangzhou University, Yangzhou, Jiangsu, P.R. China
Abstract
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.
Publisher
National Library of Serbia
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