Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays. (26th February 2013)

• Record Type: Journal Article
• Authors: Sakthivel, R.; Revathi, P.; Mahmudov, N. I.
• Other Names: Braverman Elena Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2013(2013)
• Publication Date: 2013-02-26
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2013/769257
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : We study the existence and asymptotic stability in p th 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.