Research Communication | Open Access
Volume 2020 | Communication ID 232 |

On the numerical solution of fractional stochastic differential equations

Adil EZ-ZETOUNI, Mehdi ZAHID, Khadija Akdim
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
06 February 2020
21 February 2020
10 March 2020

Abstract: Recently, fractional differential equation models have been largely employed in many fields, which is the case in mecanics, finance, image processing and bioengineering. Since the fractional order derivative has the memory effect property, modeling by stochastic fractional differential equations has more advantages to understand problems and phenomena with memory. In this work, we give an overview of numerical methods for the solution of fractional stochastic differential equations. Then we present discrete time strong and weak approximation methods that are suitable for different applications.