Geodesic
Optimal control problem for fractional stochastic nonlocal semilinear system
Filomat, Tome 36 (2022) no. 4, p. 1381

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DOI

This article deals with the optimal control of the fractional stochastic nonlocal semilinear system in Hilbert space. The existence and uniqueness results for the mild solution are derived using Banach fixed point theorem. The optimal control is proved using minimizing sequence approach and Mazur's lemma. For better understanding of theory, we have included one example
DOI : 10.2298/FIL2204381P
Classification : 34A08, 34K35, 49J15
Keywords: Lagrange’s problem, optimal control, mild solution, α-order cosine family, α-order sine family 
Rohit Patel; Anurag Shukla; Shimpi Singh Jadon. Optimal control problem for fractional stochastic nonlocal semilinear system. Filomat, Tome 36 (2022) no. 4, p. 1381 . doi: 10.2298/FIL2204381P
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     title = {Optimal control problem for fractional stochastic nonlocal semilinear system},
     journal = {Filomat},
     pages = {1381 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204381P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204381P/}
}
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