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 - <p>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.</p>