Geodesic
Optimal control for non-cooperative systems involving fractional Laplace operator
Filomat, Tome 36 (2022) no. 13, p. 4493

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DOI

This study investigates the optimal control problem associated with n × n non-cooperative systems, including the fractional Laplace operator. The non-local issue is recast as a local problem. As a consequence, in these systems, the existence and uniqueness of the weak solution are established. A system's existence and optimal control conditions are also established.
DOI : 10.2298/FIL2213493S
Classification : 46N10, 49J20, 35J55, 26A33
Keywords: Optimal control, Weak solution, Lax-Milgram Lemma, Fractional Laplace operator, Non-local operator, Sobolev spaces, Non-cooperative systems 
H M Serag; Abd-Allah Hyder; M El-Badawy. Optimal control for non-cooperative systems involving fractional Laplace operator. Filomat, Tome 36 (2022) no. 13, p. 4493 . doi: 10.2298/FIL2213493S
@article{10_2298_FIL2213493S,
     author = {H M Serag and Abd-Allah Hyder and M El-Badawy},
     title = {Optimal control for non-cooperative systems involving fractional {Laplace} operator},
     journal = {Filomat},
     pages = {4493 },
     year = {2022},
     volume = {36},
     number = {13},
     doi = {10.2298/FIL2213493S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2213493S/}
}
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