BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION

Authors :: Lixin Tian
Jingqun Wang
Source :: Journal of Applied Analysis & Computation. 10:411-426
Publication Year :: 2020
Publisher :: Wilmington Scientific Publisher, LLC, 2020.
Abstract: In this paper, we study the time-fractional nonlinear Korteweg-de Vries (KdV) equation. By using the theory of semigroups, we prove the well-posedness of the time-fractional nonlinear KdV equation. Moreover, we present the boundary controllability result for the problem.

Subjects :: 0209 industrial biotechnology
General Mathematics
010102 general mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Boundary (topology)
02 engineering and technology
01 natural sciences
Controllability
Nonlinear system
Nonlinear Sciences::Exactly Solvable and Integrable Systems
020901 industrial engineering & automation
0101 mathematics
Korteweg–de Vries equation
Nonlinear Sciences::Pattern Formation and Solitons
Mathematics

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