Global solution to non-self-adjoint stochastic Volterra equation

نویسندگانMojtaba Kiyanpour, Bijan Z. Zangeneh, Ruhollah Jahanipur
نشریهStochastics and Dynamics
نوع مقالهFull Paper
تاریخ انتشار2022-7-26
رتبه نشریهISI
نوع نشریهچاپی
کشور محل چاپایران

چکیده مقاله

In this paper, we establish the existence and uniqueness of the mild solution for stochastic Volterra equation with a non-self-adjoint operator.The specific Volterra equation that we consider is a generalization of the fractional differential equation. To obtain the mild solution for the case of multiplicative problem, the resolvent property of the linear perturbation of a sectorial operator will be considered.