Geodesic
The Riccati equation with variable heredity
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2017), pp. 44-53 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider the Riccati differential equation with a fractional derivative of variable order. The introduction of a derivative of a fractional variable order into the initial equation determines the property of the medium - the memory effect or the heredity, which consists in the dependence of the current state of the dynamic system on its previous states.
Mots-clés : Riccati equation
Keywords: fractional derivative, hereditarity, numerical methods, differential equation. 
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D. A. Tvyordyj. The Riccati equation with variable heredity. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2017), pp. 44-53. http://geodesic.mathdoc.fr/item/VKAM_2017_1_a4/

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