Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 7, Pages 30–42
DOI: https://doi.org/10.26907/0021-3446-2021-7-30-42
(Mi ivm9693)
 

Iterative method for non-adapted fuzzy stochastic differential equations

H. Jafari

Department of Mathematics, Chabahar Maritime University, Chabahar, Iran
References:
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
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 7, Pages 24–34
DOI: https://doi.org/10.3103/S1066369X21070045
Document Type: Article
UDC: 517
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Jaf21}
\by H.~Jafari
\paper Iterative method for non-adapted fuzzy stochastic differential equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 7
\pages 30--42
\mathnet{http://mi.mathnet.ru/ivm9693}
\crossref{https://doi.org/10.26907/0021-3446-2021-7-30-42}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 7
\pages 24--34
\crossref{https://doi.org/10.3103/S1066369X21070045}
Linking options:
  • https://www.mathnet.ru/eng/ivm9693
  • https://www.mathnet.ru/eng/ivm/y2021/i7/p30
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:176
    Full-text PDF :46
    References:24
    First page:2
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024