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Zbl 1228.35263
Dorville, René; Mophou, Gisèle M.; Valmorin, Vincent S.
Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation. (English)
[J] Comput. Math. Appl. 62, No. 3, 1472-1481 (2011). ISSN 0898-1221

Summary: We study a nonhomogeneous Dirichlet boundary fractional diffusion equation in a bounded domain. The fractional time derivative is considered in the Riemann-Liouville sense. We first prove by transposition the existence and the uniqueness of the solution of the boundary fractional diffusion equation. Then under some appropriate assumptions on the closed convex set of the admissible controls, we obtain a decoupled optimality system.

MSC 2000:: *35R11
49J20 Optimal control problems with PDE (existence)

Keywords: fractional differential equation; transposition method; optimal control

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