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16 February 2025
 
  » arxiv » 1508.0047

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Regional controllability of anomalous diffusion generated by the time fractional diffusion equations
Fudong Ge ; YangQuan Chen ; Chunhai Kou ;
Date 1 Aug 2015
AbstractThis paper is concerned with the investigation of the regional controllability of the time fractional diffusion equations. First, some preliminaries and definitions of regional controllability of the system under consideration are introduced, which promote the existence contributions on controllability analysis. Then we analyze the regional controllability with minimum energy of the time fractional diffusion equations on two cases: $Bin mathbf{L}left(mathbf{R}^m, L^2(Omega) ight)$ and $B otin mathbf{L}left(mathbf{R}^m, L^2(Omega) ight)$. In the end, two applications are given to illustrate our obtained results.
Source arXiv, 1508.0047
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