Work

On the Construction of Some Fractional Stochastic Gompertz Models

Year: 2020

Type: article

Abstract: The aim of this paper is the construction of stochastic versions for some fractional Gompertz curves. To do this, we first study a class of linear fractional-integral stochastic equations, proving existence and uniqueness of a Gaussian solution. Such kinds of equations are then used to construct fractional stochastic Gompertz models. Finally, a new fractional Gompertz model, based on the previous two, is introduced and a stochastic version of it is provided.

Source: Mathematics

DOI: 10.3390/math8010060

Authors: Giacomo Ascione, Enrica Pirozzi

Institution: University of Naples Federico II

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,267

Funder: Ministero dell’Istruzione, dell’Università e della Ricerca