On the Solution of Fractional Burgers' Equation and Its Optimal Control Problem

Svetlin G. Georgiev; F. Mohammadizadeh; H. A. Tehrani; M. H. Noori Skandari

doi:10.4208/ata.OA-2018-0016

On the Solution of Fractional Burgers' Equation and Its Optimal Control Problem

Authors

Svetlin G. Georgiev Faculty of Mathematical Science, Sorbonne University, Paris, France
F. Mohammadizadeh Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran
H. A. Tehrani
M. H. Noori Skandari Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

DOI:

https://doi.org/10.4208/ata.OA-2018-0016

Keywords:

Burgers' equation, fractional optimal control, linear functional.

Abstract

The main aim of this study is to prove that a class of fractional Burgers' equations has a unique solution under some special conditions. Then it is demonstrated that an optimal control problem for this class of fractional Burgers' equations has at least one optimal solution.

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Published

2020-01-14

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Issue

Vol. 35 No. 4 (2019)

Section

Articles

How to Cite

On the Solution of Fractional Burgers’ Equation and Its Optimal Control Problem. (2020). Analysis in Theory and Applications, 35(4), 405-420. https://doi.org/10.4208/ata.OA-2018-0016