Existence results for mean-field stochastic integrodifferential equations driven by fractional Brownian motion
Year: 2026
Type: article
Abstract: In this work, we study the existence and uniqueness of mild solution for a mean-field stochastic integrodifferential equation (SIDEs) with finite delay, driven by a fractional Brownian motion in a Hilbert space with Hurst parameter H > 1 2 {\mathrm{H}>\frac{1}{2}} . We suppose that the linear part has a resolvent operator in the sense given in [R. C. Grimmer, Resolvent operators for integral equations in a Banach space, Trans. Amer. Math. Soc. 273 1982, 1, 333–349]. An example is provided to show the applicability of our results.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W7162770135