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 - <p style="text-align: justify;">The main aim of this study is to prove that a class of fractional Burgers&#39; equations has a unique solution under some special conditions. Then it is demonstrated that an optimal control problem for this class of fractional Burgers&#39; equations has at least one optimal solution.</p>