摘要:This paper is concerned with stochastic differential equations of fractional-order q ∈ ( m − 1 , m ) $q \in(m-1, m)$ (where m ∈ Z $m \in \mathbb{Z}$ and m ≥ 2 $m \geq 2$ ) with finite delay at a space B C ( [ − τ , 0 ] ; R d ) $BC ( [ - \tau, 0];R^{d} )$ . Some sufficient conditions are obtained for the existence and uniqueness of solutions for these stochastic fractional differential systems by applying the Picard iterations method and the generalized Gronwall inequality.
关键词:stochastic differential equations ; stochastic fractional differential equations ; existence of solutions ; fractional order