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Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations.

Authors :
Moghaddam, B. P.
Zhang, Lei
Lopes, A. M.
Tenreiro Machado, J. A.
Mostaghim, Z. S.
Source :
Stochastics: An International Journal of Probability & Stochastic Processes. May2020, Vol. 92 Issue 3, p379-396. 18p.
Publication Year :
2020

Abstract

This paper studies a class of fractional stochastic delay differential equations driven by a Wiener process. The sufficient conditions for the existence and uniqueness of the solution of fractional stochastic delay differential equations are obtained by means of the Picard iteration method. Moreover, the upper bound of the error using the Picard approximation is estimated. Numerical examples illustrate the theoretical results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17442508
Volume :
92
Issue :
3
Database :
Academic Search Index
Journal :
Stochastics: An International Journal of Probability & Stochastic Processes
Publication Type :
Academic Journal
Accession number :
142833515
Full Text :
https://doi.org/10.1080/17442508.2019.1625903