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 Optimal control problems for space-fractional wave equations Yongqiang Fu,Xia Zhang,Khattak Shahzad Keywords:Optimal control; space-fractional wave equation; fractional Sobolev space Abstract: In this paper, we study an optimal control problem for a space-fractional wave equation. First we show the existence and uniqueness of weak solution by the Galerkin approximate method. Second we obtain an optimal control for the optimal control problem.