A Novel Proof on the Existence of the Solution of Fractional Control Problem Governed by Burgers Equations
Year: 2019
Author: S. G. Georgiev, F. Mohammadizadeh, H. Tehrani, M. H. N. Skandari
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 2 : pp. 129–143
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v32.n2.3
Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 2 : pp. 129–143
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Burgers equation