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Itô's formula for linear fractional PDEs

Jorge A. Leon, Samy Tindel

math.PRarXiv:math/0610753

Abstract

In this paper we introduce a stochastic integral with respect to the solution X of the fractional heat equation on [0,1], interpreted as a divergence operator. This allows to use the techniques of the Malliavin calculus in order to establish an Itô-type formula for the process X.

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