Abstract | ||
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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. |
Year | DOI | Venue |
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2017 | 10.1007/s10957-015-0817-6 | J. Optimization Theory and Applications |
Keywords | Field | DocType |
No-regret control, Time-fractional differential equation, Incomplete data, Optimality system, Euler–Lagrange formula, 49J20, 49K20, 26A33 | Boundary value problem,Mathematical optimization,Optimal control,Regret,Mathematical analysis,Fractional diffusion,Mathematics | Journal |
Volume | Issue | ISSN |
174 | 1 | 1573-2878 |
Citations | PageRank | References |
2 | 0.75 | 5 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
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G.M. Mophou | 1 | 31 | 6.27 |