TY - JOUR T1 - On the Solution of Fractional Burgers' Equation and Its Optimal Control Problem AU - Georgiev , Svetlin G. AU - Mohammadizadeh , F. AU - Tehrani , H. A. AU - Skandari , M. H. Noori JO - Analysis in Theory and Applications VL - 4 SP - 405 EP - 420 PY - 2020 DA - 2020/01 SN - 35 DO - http://doi.org/10.4208/ata.OA-2018-0016 UR - https://global-sci.org/intro/article_detail/ata/13620.html KW - Burgers' equation, fractional optimal control, linear functional. AB -

The main aim of this study is to prove that a class of fractional Burgers' equations has a unique solution under some special conditions. Then it is demonstrated that an optimal control problem for this class of fractional Burgers' equations has at least one optimal solution.