Existence of solutions for fractional impulsive neutral functional differential equations driven by fractional Brownian motion

References

[1] Y. Benkabdi and E. Lakhel, Controllability of impulsive neutral stochastic integro-differential systems driven by a Rosenblatt process with unbounded delay, Random Oper. Stoch. Equ. 29 (2021), no. 4, 237–250. 10.1515/rose-2021-2063Suche in Google Scholar

[2] F. Biagini, Y. Hu, B. Øksendal and T. Zhang, Stochastic Calculus for Fractional Brownian Motion and Applications, Springer, London, 2008. 10.1007/978-1-84628-797-8Suche in Google Scholar

[3] B. Boufoussi and S. Hajji, Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space, Statist. Probab. Lett. 82 (2012), 1549–1558. 10.1016/j.spl.2012.04.013Suche in Google Scholar

[4] B. Boufoussi, S. Hajji and E. Lakhel, Functional differential equations in Hilbert spaces driven by a fractional Brownian motion, Afr. Mat. 23 (2012), no. 2, 173–194. 10.1007/s13370-011-0028-8Suche in Google Scholar

[5] E. Lakhel, Controllability of neutral stochastic functional integro-differential equations driven by fractional Brownian motion, Stoch. Anal. Appl. 34 (2016), no. 3, 427–440. 10.1080/07362994.2016.1149718Suche in Google Scholar

[6] E. Lakhel and S. Hajji, Existence and uniqueness of mild solutions to neutral SFDEs driven by a fractional Brownian motion with non-Lipschitz coefficients, J. Numer. Math. Stoch. 7 (2015), no. 1, 14–29. Suche in Google Scholar

[7] E. Lakhel and M. A. McKibben, Existence of solutions for fractional neutral functional differential equations driven by fBm with infinite delay, Stochastics 90 (2018), 313–329. 10.1080/17442508.2017.1346657Suche in Google Scholar

[8] Y. Li and B. Liu, Existence of solution of nonlinear neutral functional differential inclusion with infinite delay, Stoch. Anal. Appl. 25 (2007), 397–415. 10.1080/07362990601139610Suche in Google Scholar

[9] B. Mandelbrot and V. Ness, Fractional Brownian motion, fractional noises and applications, SIAM Rev. 10 (1986), no. 4, 422–437. 10.1137/1010093Suche in Google Scholar

[10] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. Math. Sci. 44, Springer, New York, 1983. 10.1007/978-1-4612-5561-1Suche in Google Scholar

[11] Y. Zhou and J. Feng, Existence of mild solutions for fractional neutral evolution equations, Comput. Math. Appl. 59 (2010), 1063–1077. 10.1016/j.camwa.2009.06.026Suche in Google Scholar