Loading...
Global solution to non-self-adjoint stochastic Volterra equation
Kiyanpour, M ; Sharif University of Technology | 2022
13
Viewed
- Type of Document: Article
- DOI: 10.1142/S0219493723500041
- Publisher: World Scientific , 2022
- Abstract:
- 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. © 2023 World Scientific Publishing Company
- Keywords:
- Non-self-adjoint operator ; Perturbation ; Stochastic Volterra equation
- Source: Stochastics and Dynamics ; 2022 ; 02194937 (ISSN)
- URL: https://www.worldscientific.com/doi/abs/10.1142/S0219493723500041