Authors | Mojtaba Kiyanpour, Bijan Z. Zangeneh, Ruhollah Jahanipur |
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Journal | Stochastics and Dynamics |
Paper Type | Full Paper |
Published At | 2022-7-26 |
Journal Grade | ISI |
Journal Type | Typographic |
Journal Country | Iran, Islamic Republic Of |
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.