Year: 2019
Author: Biao Liu, Ranchao Wu, Liping Chen
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.271
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 271–282
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Weak solutions optimal control reaction-diffusion Riesz operator.