On the Construction of Some Fractional Stochastic Gompertz Models
Copyright policy )On the Construction of Some Fractional Stochastic Gompertz Models
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.
Caputo fractional derivative, caputo fractional derivative, gaussian processes, QA1-939, Gaussian processes, Fractional-integral equations, Caputo fractional derivative; Fractional-integral equations; Gaussian processes, fractional-integral equations, Mathematics
Caputo fractional derivative, caputo fractional derivative, gaussian processes, QA1-939, Gaussian processes, Fractional-integral equations, Caputo fractional derivative; Fractional-integral equations; Gaussian processes, fractional-integral equations, Mathematics
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