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Boundary controllability for the time-fractional nonlinear Korteweg-de Vries(KdV) equation
Jingqun Wang,Lixin Tian
Keywords:nonlinear time-fractional Korteweg-de Vries(KdV) equation; well-posedness; boundary controllability.
Abstract:
      In this paper, we study the time-fractional nonlinear Korteweg-de Vries(KdV) equation. By using the so-called the theory of semigroups, we prove that the well-posedness for the time-fractional nonlinear Korteweg-de Vries(KdV) equationwith the help of the hidden regularities of the associated linear problems. Moreover, we present the boundary controllability result of the equation.
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