A Novel Proof on the Existence of the Solution of Fractional Control Problem Governed by Burgers Equations

S. G. Georgiev; F. Mohammadizadeh; H. Tehrani; M. H. N. Skandari

doi:10.4208/jpde.v32.n2.3

A Novel Proof on the Existence of the Solution of Fractional Control Problem Governed by Burgers Equations

Authors

S. G. Georgiev Department of Applied Mathematics, Sorbonne University, Paris, France
F. Mohammadizadeh Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
H. Tehrani Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
M. H. N. Skandari Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

DOI:

https://doi.org/10.4208/jpde.v32.n2.3

Keywords:

Burgers equation;fractional optimal control.

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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Published

2019-07-15

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Issue

Vol. 32 No. 2 (2019)

Section

Articles

How to Cite

A Novel Proof on the Existence of the Solution of Fractional Control Problem Governed by Burgers Equations. (2019). Journal of Partial Differential Equations, 32(2), 129-143. https://doi.org/10.4208/jpde.v32.n2.3