4.6 Article

Mackey-Glass equation driven by fractional Brownian motion

Journal

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 391, Issue 22, Pages 5465-5472

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2012.06.013

Keywords

Mackey-Glass equation; Fractional Brownian motion; Malliavin calculus

Funding

  1. Vietnam National Foundation for Science and Technology Development (NAFOSTED) [101.02-2011.12 (16-101)]

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In this paper we introduce a fractional stochastic version of the Mackey-Glass model which is a potential candidate to model objects in biology and finance. By a semi-martingale approximate approach we find an semi-analytical expression for the solution. (C) 2012 Elsevier B.V. All rights reserved.

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