Itô formulas for fractional brownian motion

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Abstract

This article reviews the theory of fractional Brownian motion (fBm) in the white noise framework, and we present a new approach to the proof of Itô-type formulas for the stochastic calculus of fractional Brownian motion.

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Elliott, R. J., & van der Hoek, J. (2007). Itô formulas for fractional brownian motion. In Applied and Numerical Harmonic Analysis (pp. 59–81). Springer International Publishing. https://doi.org/10.1007/978-0-8176-4545-8_5

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