Approximation solution of the McKean system
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 157-161

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A one-dimensional kinetic system of McKean equations with fractional time derivatives is examined. Using an analytical method similar to the generalized Taylor series, we construct an approximation solution and compare the exact and approximate solutions for various values of the parameters.
Keywords: McKean system, approximation solution, fractional Caputo derivative.
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     title = {Approximation solution of the {McKean} system},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     year = {2021},
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S. A. Dukhnovskii. Approximation solution of the McKean system. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 2, Tome 191 (2021), pp. 157-161. http://geodesic.mathdoc.fr/item/INTO_2021_191_a15/