Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise
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- Lihong Guo, 2024. "Renormalization Group Method for a Stochastic Differential Equation with Multiplicative Fractional White Noise," Mathematics, MDPI, vol. 12(3), pages 1-20, January.
- Boufoussi, Brahim & Hajji, Salah, 2017. "Stochastic delay differential equations in a Hilbert space driven by fractional Brownian motion," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 222-229.
- Fan, Xiliang & Yuan, Chenggui, 2016. "Lyapunov exponents of PDEs driven by fractional noise with Markovian switching," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 39-50.
- Zhang, Yinghan & Yang, Xiaoyuan, 2015. "Fractional stochastic Volterra equation perturbed by fractional Brownian motion," Applied Mathematics and Computation, Elsevier, vol. 256(C), pages 20-36.
- Barbu, Viorel & Brzeźniak, Zdzisław & Hausenblas, Erika & Tubaro, Luciano, 2013. "Existence and convergence results for infinite dimensional nonlinear stochastic equations with multiplicative noise," Stochastic Processes and their Applications, Elsevier, vol. 123(3), pages 934-951.
- Issoglio, E. & Riedle, M., 2014. "Cylindrical fractional Brownian motion in Banach spaces," Stochastic Processes and their Applications, Elsevier, vol. 124(11), pages 3507-3534.
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Keywords
Fractional Brownian motion Stochastic differential equations in a Hilbert space Explicit solutions of linear stochastic differential equations Fractional Gaussian noise;Statistics
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