TY - JOUR T1 - A Novel Proof on the Existence of the Solution of Fractional Control Problem Governed by Burgers Equations AU - Georgiev , S. G. AU - Mohammadizadeh , F. AU - Tehrani , H. AU - Skandari , M. H. N. JO - Journal of Partial Differential Equations VL - 2 SP - 129 EP - 143 PY - 2019 DA - 2019/07 SN - 32 DO - http://doi.org/10.4208/jpde.v32.n2.3 UR - https://global-sci.org/intro/article_detail/jpde/13238.html KW - Burgers equation KW - fractional optimal control. AB -

In this study, first we give some conditions to prove that a fractional Burgers equation has a unique solution. For this aim, we define a special operator to deduce the uniqueness of the solution. Then we prove that the optimal control problem under fractional Burgers equation has at least one optimal solution.