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Volume 35, Issue 4
On the Solution of Fractional Burgers' Equation and Its Optimal Control Problem

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

Anal. Theory Appl., 35 (2019), pp. 405-420.

Published online: 2020-01

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  • 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.

  • AMS Subject Headings

26A33, 34A08, 35R11

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

svetlingeorgi ev1@gmail.com (Svetlin G. Georgiev)

f.mohamadi093@gmail.com (F. Mohammadizadeh)

hahsani@shahroodut.ac.ir (H. A. Tehrani)

nooriskandari@shahroodut. ac.ir (M. H. Noori Skandari)

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@Article{ATA-35-405, author = {Georgiev , Svetlin G.Mohammadizadeh , F.Tehrani , H. A. and Skandari , M. H. Noori}, title = {On the Solution of Fractional Burgers' Equation and Its Optimal Control Problem}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {35}, number = {4}, pages = {405--420}, 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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2018-0016}, url = {http://global-sci.org/intro/article_detail/ata/13620.html} }
TY - JOUR T1 - On the Solution of Fractional Burgers' Equation and Its Optimal Control Problem AU - Georgiev , Svetlin G. AU - Mohammadizadeh , F. AU - Tehrani , H. A. AU - Skandari , M. H. Noori JO - Analysis in Theory and Applications VL - 4 SP - 405 EP - 420 PY - 2020 DA - 2020/01 SN - 35 DO - http://doi.org/10.4208/ata.OA-2018-0016 UR - https://global-sci.org/intro/article_detail/ata/13620.html KW - Burgers' equation, fractional optimal control, linear functional. AB -

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.

Georgiev , Svetlin G.Mohammadizadeh , F.Tehrani , H. A. and Skandari , M. H. Noori. (2020). On the Solution of Fractional Burgers' Equation and Its Optimal Control Problem. Analysis in Theory and Applications. 35 (4). 405-420. doi:10.4208/ata.OA-2018-0016
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