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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive
Vestnik KRAUNC. Fiz.-Mat. Nauki, 2019 Volume 27, Number 2, Pages 38–46 (Mi vkam350)
MATHEMATICAL MODELING

On a generalized mathematical model of Malthus

F. M. Losanova, R. O. Kenetova

Institute of Applied Mathematics and Automation, 360000, Republic of Kabardino-Balkariya, Nalchik Shortanova st., 89 A, Russia

Abstract: The paper considers the generalized Malthus equation describing a singlespecies population. Solved the Cauchy problem for cases $0 <\alpha<1$ and $1<\alpha<2$.

Keywords: generalized Malthus equation, Cauchy problem, fractional derivative, fractional  integral, Mittag-Leffler function.

UDC: 517.9

MSC: 26A33

DOI: 10.26117/2079-6641-2019-27-2-38-46



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© Steklov Math. Inst. of RAS, 2024