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Volume 1, Issue 2
Weak Solutions of a Reaction Diffusion System with Superdiffusion and Its Optimal Control

Biao Liu, Ranchao Wu & Liping Chen

DOI: 10.12150/jnma.2019.271

J. Nonl. Mod. Anal., 1 (2019), pp. 271-282.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

The existence and uniqueness of weak solutions to the 2-dimensional reaction diffusion system with superdiffusion and the optimal control of such model are investigated in this paper. Fractional function spaces, Galerkin approximation method and Gronwall inequality are used to obtain the existence and uniqueness of weak solutions. On this basis, an optimal control problem of such superdiffusive system is further considered by using the minimal sequence.

  • Keywords

Weak solutions, optimal control, reaction-diffusion, Riesz operator.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-1-271, author = {Liu , BiaoWu , Ranchao and Chen , Liping}, title = {Weak Solutions of a Reaction Diffusion System with Superdiffusion and Its Optimal Control}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {1}, number = {2}, pages = {271--282}, abstract = {

The existence and uniqueness of weak solutions to the 2-dimensional reaction diffusion system with superdiffusion and the optimal control of such model are investigated in this paper. Fractional function spaces, Galerkin approximation method and Gronwall inequality are used to obtain the existence and uniqueness of weak solutions. On this basis, an optimal control problem of such superdiffusive system is further considered by using the minimal sequence.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2019.271}, url = {http://global-sci.org/intro/article_detail/jnma/18863.html} }
TY - JOUR T1 - Weak Solutions of a Reaction Diffusion System with Superdiffusion and Its Optimal Control AU - Liu , Biao AU - Wu , Ranchao AU - Chen , Liping JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 271 EP - 282 PY - 2021 DA - 2021/04 SN - 1 DO - http://doi.org/10.12150/jnma.2019.271 UR - https://global-sci.org/intro/article_detail/jnma/18863.html KW - Weak solutions, optimal control, reaction-diffusion, Riesz operator. AB -

The existence and uniqueness of weak solutions to the 2-dimensional reaction diffusion system with superdiffusion and the optimal control of such model are investigated in this paper. Fractional function spaces, Galerkin approximation method and Gronwall inequality are used to obtain the existence and uniqueness of weak solutions. On this basis, an optimal control problem of such superdiffusive system is further considered by using the minimal sequence.

Biao Liu, Ranchao Wu & Liping Chen. (1970). Weak Solutions of a Reaction Diffusion System with Superdiffusion and Its Optimal Control. Journal of Nonlinear Modeling and Analysis. 1 (2). 271-282. doi:10.12150/jnma.2019.271
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