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

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

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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Veröffentlicht in:Analysis in theory & applications 2019-01, Vol.35 (4), p.405-420
Hauptverfasser: Svetlin G. Georgiev, Svetlin G. Georgiev, F. Mohammadizadeh, F. Mohammadizadeh, H. A. Tehrani, H. A. Tehrani, M. H. Noori Skandari, M. H. Noori Skandari
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Sprache:eng
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Zusammenfassung: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:1672-4070
1573-8175
DOI:10.4208/ata.OA-2018-0016