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  • 标题:Existence and uniqueness of solutions for stochastic differential equations of fractional-order q > 1 $q > 1$ with finite delays
  • 本地全文:下载
  • 作者:Xianmin Zhang ; Praveen Agarwal ; Zuohua Liu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:123
  • DOI:10.1186/s13662-017-1169-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 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
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