Almost periodic mild solutions to a class of fractional delayed differential equations

摘要：

This paper studies the existence and uniqueness of almost periodic mild solutions to fractional delayed differential equations of the form Dtax(t)=Ax(t)+Dta-1 f(t,xt) where 1 < a < 2, A : D(A) C X ? X is a linear densely defined operator of sectional type on a complex Banach space X and f : R ?X ? X is jointly continuous. Let f(t,x) be almost periodic in t ? R uniformly for x. Under some additional assumptions on A and f, the existence and uniqueness of a almost periodic mild solution to above equation is obtained by using the Banach fixed-point principle. The obtaining results extent corresponding results in time delay with respect to almost periodic mild solutions for fractional differential equations.

作者: Yongjian Liu Aimin Liu

作者单位: Department of Mathematics and Computation Science, Yulin Normal University, Yulin 537000, P.R.China Educational Technology Center, Yulin Normal University, Yulin 537000, P.R.China

会议类型: 国际会议

会议名称: 2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)

会议地点: 昆明

会议语种:英文

页码: 297-300

在线出版日期: 2010-10-29（万方平台首次上网日期，不代表论文的发表时间）