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   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
 
     
   
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