TY - JOUR A2 - Abdeljawad, Thabet AU - Rihan, Fathalla A. AU - Rajivganthi, Chinnathambi AU - Muthukumar, Palanisamy PY - 2017 DA - 2017/06/15 TI - Fractional Stochastic Differential Equations with Hilfer Fractional Derivative: Poisson Jumps and Optimal Control SP - 5394528 VL - 2017 AB - In this work, we consider a class of fractional stochastic differential system with Hilfer fractional derivative and Poisson jumps in Hilbert space. We study the existence and uniqueness of mild solutions of such a class of fractional stochastic system, using successive approximation theory, stochastic analysis techniques, and fractional calculus. Further, we study the existence of optimal control pairs for the system, using general mild conditions of cost functional. Finally, we provide an example to illustrate the obtained results. SN - 1026-0226 UR - https://doi.org/10.1155/2017/5394528 DO - 10.1155/2017/5394528 JF - Discrete Dynamics in Nature and Society PB - Hindawi KW - ER -