Existence and uniqueness of solutions for stochastic differential equations of fractional-order q > 1 $q > 1$ with finite delays

Existence and uniqueness of solutions for stochastic differential equations of fractional-order q > 1 $q > 1$ with finite delays

Abstract 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 obt...

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Bibliographic Details
Main Authors: Xianmin Zhang, Praveen Agarwal, Zuohua Liu, Hui Peng, Fang You, Yajun Zhu
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Advances in Difference Equations
Subjects:
stochastic differential equations
stochastic fractional differential equations
existence of solutions
fractional order
Online Access:http://link.springer.com/article/10.1186/s13662-017-1169-3

Internet

http://link.springer.com/article/10.1186/s13662-017-1169-3

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