2 papers
math.NA2026
Euler Scheme for Stochastic Functional Differential Equations Driven by Fractional Brownian Motion via Fractional Calculus Techniques
Alexander Abreu, Héctor Araya, Lisandro Fermin +2
We study a stochastic functional differential equation (SFDE) with memory driven by a fractional Brownian motion (fBm) with Hurst parameter H>1/2. An Euler-type numerical scheme is…
math.PR2024
On explosion time in stochastic differential equations driven by fractional Brownian motion
Johanna Garzon, Jorge A. Leon, Soledad Torres +2
In this article, we study the explosion time of the solution to autonomous stochastic differential equations driven by the fractional Brownian motion with Hurst parameter .…