Title
Optimal Control for Fractional Diffusion Equations with Incomplete Data
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.
Year
DOI
Venue
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
G.M. Mophou1316.27