Fractional stochastic differential equations with applications to finance

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Abstract

In this paper we use a definition of the fractional stochastic integral given by Carmona et al. (2003) in [19] and develop a simple approximation method to study quasi-linear stochastic differential equations by fractional Brownian motion. We also propose a stochastic process, namely fractional semimartingale, to model for the noise driving in some financial models. © 2012 Elsevier Ltd.

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APA

Nguyen Tien, D. (2013). Fractional stochastic differential equations with applications to finance. Journal of Mathematical Analysis and Applications, 397(1), 334–348. https://doi.org/10.1016/j.jmaa.2012.07.062

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