Geodesic
On the statement and solvability of the $l$-problem of moments for fractional systems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 107-124

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In this paper, we generalize the method of moments for optimal control problems for fractional linear systems with concentrated parameters to new types of systems. We analyze the statement and solvability of the $l$-problem of moments for the simplest one- and two-dimensional systems with Prabhakar, Saigo, and Grinko operators. In some cases, we obtain exact analytical solutions of this problem.
Keywords: fractional order dynamical system, optimal control, fractional derivative, $l$-problem of moments. 
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     author = {S. S. Postnov},
     title = {On the statement and solvability of the $l$-problem of moments for fractional systems},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {107--124},
     publisher = {mathdoc},
     volume = {206},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2022_206_a9/}
}
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S. S. Postnov. On the statement and solvability of the $l$-problem of moments for fractional systems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Winter Mathematical School "Modern Methods of Function Theory and Related Problems", Voronezh, January 28 - February 2, 2021, Part 1, Tome 206 (2022), pp. 107-124. http://geodesic.mathdoc.fr/item/INTO_2022_206_a9/