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

Аннотация

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.