Science and Education Publishing American Journal of Systems and Software 2372-7071 4 2 2016 12 21 Existence and Stability of Mixed Stochastic Fractional Order Differential Inclusion Equations via Cosine Dynamical System 57 68 EN Salah H Abid Sameer Q Hasan Department of Mathematics, College of Education Almustansryah University Zainab A Khudhur AJSS2016425 10.12691/ajss-4-2-5 2016 6 27 2016 11 9 2016 12 19 In this paper, we shall consider the existence and stability of stochastic fractional order differential inclusion nonlinear equations in infinite dimensional space by mixed fractional Brownian motion in Hilbert space H.