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Iterative method for non-adapted fuzzy stochastic differential equations
H. Jafari Department of Mathematics, Chabahar Maritime University, Chabahar, Iran
Abstract:
In this paper, an anticipating stochastic differential equation is considered, that the integrand processes are not adapted to the filtration generated by a Wiener process. Using the correspondence between the Skorohod integral and Itô-Skorohod integral, the equations can be solved by using standard iterative techniques. Then, the existence and uniqueness of strong solutions to these equations are discussed. Such equations with non-adapted, fuzziness, and randomness processes can be applied in financial models.
Keywords:
Malliavin calculus, fuzzy stochastic process, fuzzy stochastic integral, Skorohod integral.
Received: 20.07.2020 Revised: 11.03.2021 Accepted: 30.03.2021
Citation:
H. Jafari, “Iterative method for non-adapted fuzzy stochastic differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 7, 30–42; Russian Math. (Iz. VUZ), 65:7 (2021), 24–34
Linking options:
https://www.mathnet.ru/eng/ivm9693 https://www.mathnet.ru/eng/ivm/y2021/i7/p30
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Abstract page: | 176 | Full-text PDF : | 46 | References: | 24 | First page: | 2 |
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