Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays
Joint Authors
Sakthivel, R.
Revathi, P.
Mahmudov, N. I.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-26
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We study the existence and asymptotic stability in pth moment of a mild solution to a class of nonlinear fractional neutral stochastic differential equations with infinite delays in Hilbert spaces.
A set of novel sufficient conditions are derived with the help of semigroup theory and fixed point technique for achieving the required result.
The uniqueness of the solution of the considered problem is also studied under suitable conditions.
Finally, an example is given to illustrate the obtained theory.
American Psychological Association (APA)
Sakthivel, R.& Revathi, P.& Mahmudov, N. I.. 2013. Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-497322
Modern Language Association (MLA)
Sakthivel, R.…[et al.]. Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-497322
American Medical Association (AMA)
Sakthivel, R.& Revathi, P.& Mahmudov, N. I.. Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-497322
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497322