Joseph, ClaireMophou, GiseleBaleanu, Dumitru2018-09-272025-09-182018-09-272025-09-182016Baleanu, D., Joseph, C., Mophou, G. (2016). Low-regret control for a fractional wave equation with incomplete data. Advances In Difference Equations. http://dx.doi.org/10.1186/s13662-016-0970-81687-1847https://doi.org/10.1186/s13662-016-0970-8https://hdl.handle.net/20.500.12416/10562Mophou, Gisele/0000-0001-7949-8152We investigate in this manuscript an optimal control problem for a fractional wave equation involving the fractional Riemann-Liouville derivative and with missing initial condition. For this purpose, we use the concept of no-regret and low-regret controls. Assuming that the missing datum belongs to a certain space we show the existence and the uniqueness of the low-regret control. Besides, its convergence to the no-regret control is discussed together with the optimality system describing the no-regret control.eninfo:eu-repo/semantics/openAccessRiemann-Liouville Fractional DerivativeCaputo Fractional DerivativeOptimal ControlNo-Regret ControlLow-Regret ControlArticle10.1186/s13662-016-0970-82-s2.0-84988419349