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2021 / December Volume 16 No.4
A New Approach to Stochastic Integration with Respect to Fractional Brownian Motion for No Adapted Processes
Published Date
2021 / December
Title
A New Approach to Stochastic Integration with Respect to Fractional Brownian Motion for No Adapted Processes
Author
Bachir Cherif Khalida, Kandouci Abdeldjebbar
Keyword
Fractional Brownian motion, Levy-Hida representation, stochastic integration, Gaussian measure, Instantly independent processes
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Pagination
321-337
Abstract
In this paper, we propose a new approach to stochastic integration of the class of instantly independent stochastic processes with respect to fractional Brownian motion on a finite interval. The appraisal point is to discover the counterpart of the Ito theory. More precisely, we show some result on stochastic integration with respect to no adapted processes by generalizing the results obtained by Ayed and Kuo [5] in the Brownian framework.
DOI
10.21915/BIMAS.2021403
https://doi.org/10.21915/BIMAS.2021403
AMS Subject
Classification
60G15
Received
2021-06-30
Accepted
2021-12-18
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