Optimal control for cooperative systems involving fractional Laplace operators View Full Text


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Article Info

DATE

2021-12-20

AUTHORS

H. M. Serag, Abd-Allah Hyder, M. El-Badawy

ABSTRACT

In this work, the elliptic 2×2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$2\times 2$\end{document} cooperative systems involving fractional Laplace operators are studied. Due to the nonlocality of the fractional Laplace operator, we reformulate the problem into a local problem by an extension problem. Then, the existence and uniqueness of the weak solution for these systems are proved. Hence, the existence and optimality conditions are deduced. More... »

PAGES

196

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13660-021-02727-3

DOI

http://dx.doi.org/10.1186/s13660-021-02727-3

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1144048890


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