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Computational scheme for solving nonlinear fractional stochastic differential equations with delay.

Authors :
Moghaddam, B. P.
Mendes Lopes, A.
Tenreiro Machado, J. A.
Mostaghim, Z. S.
Source :
Stochastic Analysis & Applications. 2019, Vol. 37 Issue 6, p893-908. 16p.
Publication Year :
2019

Abstract

This paper studies the numerical solution of fractional stochastic delay differential equations driven by Brownian motion. The proposed algorithm is based on linear B-spline interpolation. The convergence and the numerical performance of the method are analyzed. The technique is adopted for determining the statistical indicators of stochastic responses of fractional Langevin and Mackey-Glass models with stochastic excitations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
07362994
Volume :
37
Issue :
6
Database :
Academic Search Index
Journal :
Stochastic Analysis & Applications
Publication Type :
Academic Journal
Accession number :
139194358
Full Text :
https://doi.org/10.1080/07362994.2019.1621182