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Linked References

1. F. Biagini, Y. Hu, B. Øksendal, and T. Zhang, Stochastic Calculus for Fractional Brownian Motion and Applications, Springer, London, UK, 2006.
2. Y. Hu, “Integral transformations and anticipative calculus for fractional Brownian motions,” Memoirs of the American Mathematical Society, vol. 175, no. 825, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
3. Y. S. Mishura, Stochastic Calculus for Fractional Brownian Motion and Related Processes, vol. 1929, Springer, Berlin, Germany, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
4. D. Nualart, The Malliavin Calculus and Related Topics, Springer, Berlin, Germany, 2nd edition, 2006. View at MathSciNet
5. M. Zähle, “Integration with respect to fractal functions and stochastic calculus. I,” Probability Theory and Related Fields, vol. 111, no. 3, pp. 333–374, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
6. L. Decreusefond and A. S. U. Üstünel, “Fractional Brownian motion: theory and applications,” ESAIM Proceedings, vol. 5, pp. 75–86, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
7. K. Kubilius, “The existence and uniqueness of the solution of an integral equation driven by a $p$-semimartingale of special type,” Stochastic Processes and Their Applications, vol. 98, no. 2, pp. 289–315, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
8. M. Zähle, “Stochastic differential equations with fractal noise,” Mathematische Nachrichten, vol. 278, no. 9, pp. 1097–1106, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
9. J. Guerra and D. Nualart, “Stochastic differential equations driven by fractional Brownian motion and standard Brownian motion,” Stochastic Analysis and Applications, vol. 26, no. 5, pp. 1053–1075, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
10. Y. S. Mishura and G. M. Shevchenko, “Existence and uniqueness of the solution of stochastic differential equation involving Wiener process and fractional Brownian motion with Hurst index $H>1/2$,” Communications in Statistics, vol. 40, no. 19-20, pp. 3492–3508, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
11. Y. Mishura and G. Shevchenko, “Mixed stochastic differential equations with long-range dependence: existence, uniqueness and convergence of solutions,” Computers & Mathematics with Applications, vol. 64, no. 10, pp. 3217–3227, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
12. E. Alòs and D. Nualart, “Anticipating stochastic Volterra equations,” Stochastic Processes and Their Applications, vol. 72, no. 1, pp. 73–95, 1997. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
13. M. A. Berger and V. J. Mizel, “Volterra equations with Itô integrals. I,” Journal of Integral Equations, vol. 2, no. 3, pp. 187–245, 1980. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
14. M. A. Berger and V. J. Mizel, “Volterra equations with Itô integrals. II,” Journal of Integral Equations, vol. 2, no. 4, pp. 319–337, 1980. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
15. M. Besalú and C. Rovira, “Stochastic Volterra equations driven by fractional Brownian motion with Hurst parameter $H>1/2$,” Stochastics and Dynamics, vol. 12, no. 4, Article ID 1250004, pp. 1–24, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
16. P. Protter, “Volterra equations driven by semimartingales,” The Annals of Probability, vol. 13, no. 2, pp. 519–530, 1985. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
17. T. Yamada and S. Watanabe, “On the uniqueness of solutions of stochastic differential equations,” Journal of Mathematics of Kyoto University, vol. 11, pp. 155–167, 1971. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
18. S. Watanabe and T. Yamada, “On the uniqueness of solutions of stochastic differential equations. II,” Journal of Mathematics of Kyoto University, vol. 11, pp. 553–563, 1971. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
19. D. Nualart and A. Răşcanu, “Differential equations driven by fractional Brownian motion,” Collectanea Mathematica, vol. 53, no. 1, pp. 55–81, 2002. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
20. D. Hamadouche, “Invariance principles in Hölder spaces,” Portugaliae Mathematica, vol. 57, no. 2, pp. 127–151, 2000. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet