|
|
an anticipating class of fuzzy stochastic differential equations
|
|
|
|
|
نویسنده
|
jafari hossein ,farahani hamed ,paripour mahmoud
|
منبع
|
advances in mathematical finance and applications - 2023 - دوره : 8 - شماره : 2 - صفحه:449 -462
|
چکیده
|
In this paper, we consider an anticipating stochastic differential equation in which the integrands are not adapted to the filtration generated by a wiener process in the stochastic integrals. by leveraging the correspondence between the skorohod integral and the itô-skorohod integral, we propose solving these equations using standard iterative techniques. subsequently, we discuss the existence and uniqueness of strong solutions to these equations. the incorporation of non-adapted, fuzzy, and random processes in such equations makes them applicable in financial models.
|
کلیدواژه
|
malliavin calculus ,fuzzy stochastic process ,fuzzy stochastic integral ,skorohod integral
|
آدرس
|
chabahar maritime university, department of mathematics, iran, chabahar maritime university, department of mathematics, iran, hamedan university of technology, department of computer engineering and information technology, iran
|
پست الکترونیکی
|
m_paripour@yahoo.com; paripour@hut.ac.ir
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|