Asymptotic stability of fractional stochastic neutral differential equations with infinite delays
type: Item
instance of: scholarly article
title: Asymptotic stability of fractional stochastic neutral differential equations with infinite delays
zbMATH Open document ID: 1269.60059
DOI: 10.1155/2013/769257
author: P. Revathi
author: R. Sakthivel
author: Nazim Idrisoglu Mahmudov
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: We study the existence and asymptotic stability in the \(p\)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 the 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.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6161374
zbMATH Keywords: existence
zbMATH Keywords: asymptotic stability
zbMATH Keywords: mild solution
zbMATH Keywords: nonlinear fractional neutral stochastic differential equations
zbMATH Keywords: semigroup theory
Wikidata QID: Q58917427
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/769257
OpenAlex ID: W2058603924
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description: scientific article; zbMATH DE number 6161374