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Weak solutions for stochastic differential equations with additive fractional noise. (English) Zbl 1415.60076
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
60G15 Gaussian processes
60G22 Fractional processes, including fractional Brownian motion
60H05 Stochastic integrals
Full Text: DOI
[1] Alòs, E.; Mazet, O.; Nualart, D., Stochastic calculus with respect to Gaussian processes, Ann. Probab., 29, 766-801, (2001) · Zbl 1015.60047
[2] Decreusefond, L.; Üstünel, A. S., Stochastic analysis of the fractional Brownian motion, Potential Anal., 10, 177-214, (1998) · Zbl 0924.60034
[3] Jost, C., Transformation formulas for fractional Brownian motion, Stoch. Process. Appl., 116, 1341-1357, (2006) · Zbl 1102.60032
[4] Nualart, D.; Ouknine, Y., Regularization of differential equations by fractional noise, Stoch. Process. Appl., 102, 103-116, (2002) · Zbl 1075.60536
[5] Samko, S. G.; Kilbas, A. A.; Marichev, O. I., Fractional Integrals and Derivatives, (1993), Gordon and Breach Science Publishers · Zbl 0818.26003
[6] Veretennikov, A. J., On strong solutions and explicit formulas for solutions of stochastic integral equations, Math. USSR Sb., 39, 387-403, (1981) · Zbl 0462.60063
[7] Zvonkin, A. K., A transformation of the phase space of a diffusion process that removes the drift, Math. USSR Sb., 22, 129-149, (1974) · Zbl 0306.60049
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