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Delay BSDEs driven by fractional Brownian motion.

Authors :
Aidara, Sadibou
Sane, Ibrahima
Source :
Random Operators & Stochastic Equations. Sep2023, Vol. 31 Issue 3, p273-284. 12p.
Publication Year :
2023

Abstract

This paper deals with a class of delay backward stochastic differential equations driven by fractional Brownian motion (with Hurst parameter H greater than 1 2 ). In this type of equation, a generator at time t can depend not only on the present but also on the past solutions. We essentially establish existence and uniqueness of a solution in the case of Lipschitz coefficients and non-Lipschitz coefficients. The stochastic integral used throughout the paper is a divergence-type integral. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09266364
Volume :
31
Issue :
3
Database :
Academic Search Index
Journal :
Random Operators & Stochastic Equations
Publication Type :
Academic Journal
Accession number :
171352005
Full Text :
https://doi.org/10.1515/rose-2023-2014