Hossein Jafari - Department of Mathematics, Chabahar Maritime University, Iran
Hamed Farahani - Department of Mathematics, Chabahar Maritime University, Iran.
Mahmoud Paripour - Hamedan University Of Technology, Hamedan, ۶۵۱۶۹-۱۳۴۱۸, Iran.

We consider a class of fuzzy stochastic differential equations (FSDE), in which the integrands of thestochastic 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 thestochastic 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.

Malliavin calculus, Skorohod integral, Fuzzy stochastic process, Fuzzy stochastic integral