Local and Global Existence of Mild Solution for Impulsive Fractional Stochastic Differential Equations

被引：27

作者：

Balasubramaniam, P. ^{[1
]}

Kumaresan, N. ^{[2
]}

Ratnavelu, K. ^{[2
]}

Tamilalagan, P. ^{[1
]}

机构：

[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India

[2] Univ Malaya, Fac Sci, Inst Math Sci, Kuala Lumpur 50603, Malaysia

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2015年 / 38卷 / 02期

关键词：

Fractional stochastic differential equation; Mild solution; Fixed-point theorem; Impulsive condition; BOUNDARY-VALUE-PROBLEMS; STABILITY;

D O I：

10.1007/s40840-014-0054-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the local and global existence of mild solutions are studied for impulsive fractional semilinear stochastic differential equation with nonlocal condition in a Hilbert space. The results are obtained by employing fixed-point technique and solution operator. In many existence results for stochastic fractional differential systems, the value of alpha is restricted to 1/2 < alpha <= 1; the aim of this manuscript is to extend the results which are valid for all values of alpha is an element of(0,1)An example is provided to illustrate the obtained theoretical results.

引用

页码：867 / 884

页数：18

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