Optimal Control for Fractional Diffusion Equations with Incomplete Data

Gisèle Mophou ()
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Gisèle Mophou: Université des Antilles et de la Guyane

Journal of Optimization Theory and Applications, 2017, vol. 174, issue 1, No 12, 176-196

Abstract: Abstract We are concerned with the optimal control of time-fractional diffusion equations with missing boundary condition. Using the notion of no-regret control and least (or low) regret control developed by Lions, we first prove that the least regret control problem associated with the boundary fractional diffusion equation has a unique solution. Then we show that this solution converges to the no-regret control which we characterize by a singular optimality system.

Keywords: No-regret control; Time-fractional differential equation; Incomplete data; Optimality system; Euler–Lagrange formula; 49J20; 49K20; 26A33 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10957-015-0817-6

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