Bulletin KRASEC. Phys. & Math. Sci. 2017. vol. 16, issue. 1. pp. 61-68. ISSN 2313-0156
DOI: 10.18454/2313-0156-2017-16-1-61-68
MSC 34A08
RICCATI EQUATION WITH VARIABLE HEREDITY
D. A. Tvyordyj
Vitus Bering Kamchatka State University, 683032, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
E-mail: diplomat95@mail.ru
The Riccati differential equation with fractional derivative of variable order is considered. Introduction of a derivative of fractional variable order into the initial equation determines the property of a medium, the memory effect or the heredity, which consists in the dependence of the dynamic system current state on its previous states.
Key words: Riccati equation, fractional derivative, heredity, numerical methods, differential equation.
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For citation: Tvyordyj D. A. Riccati equation with variable heredity. Bulletin KRASEC. Physical and Mathematical Sciences 2017, vol. 16, issue 1, 61-68. DOI: 10.18454/2313-0156-2017-16-1-61-68.
Original article submitted: 22.03.2017
Tverdiy Dmitry Alexandrovich – master student of the second year of the direction of preparation «Applied Mathematics and Informatics Kamchatka State University named after Vitus Bering.
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