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

Issue

Vol. 32 No. 2 (2019)

Section

Articles