Malliavin calculus

We consider a class of fuzzy stochastic differential equations (FSDE), in which the integrands of the stochastic integrals are not adapted to the duration generated by a Wiener process. Such equations with randomness, fuzziness, and non-adapted processes can be applied in financial models. We discuss the existence and uniqueness of strong solutions. We consider a class of fuzzy stochastic differential equations (FSDE), in which the integrands of the stochastic integrals are not adapted to the duration generated by a Wiener process. Such equations with randomness, fuzziness, and non-adapted processes can be applied in financial models. We discuss the existence and uniqueness of strong solutions.