On G. E. Hutchinson Population Model for Fractional Differential Equations with Maxima

Authors

Keywords:

G. E. Hutchinson population model, initial-final problem, functional-differential equation with maxima, Gerasimov–Caputo fractional operator, generalized spectral Jakobi– Galerkin method, unique solvability

Abstract

The article is devoted to the G. E. Hutchinson population model for fractional
functional-differential equations with maxima. The functional-differential equation with maxima
and Gerasimov–Caputo fractional operator is considered under the initial-final conditions. The
proposed functional-differential equation we consider as a mathematical model of population
dynamics of a species. The generalized spectral Jakobi–Galerkin method is used. The unique
solvability theorem is proved.

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Published

2026-02-03

How to Cite

Pirmatov, A., & Turaev, R. (2026). On G. E. Hutchinson Population Model for Fractional Differential Equations with Maxima. Journal of Osh State University. Differential Equations, (1), 105–117. Retrieved from https://journal.oshsu.kg/index.php/diffeq/article/view/3950

Issue

No. 1 (2026): Journal of Osh State University. Differential Equations

Section

Articles