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Existence of Random Attractor for Stochastic Fractional Long-Short Wave Equations with Periodic Boundary Condition
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We consider the asymptotic behaviors of stochastic fractional long-short equations driven by a random force.
Under a priori estimates in the sense of expectation, using Galerkin approximation by the stopping time and the Borel-Cantelli lemma, we prove the existence and uniqueness of solutions.
Then a global random attractor and the existence of a stationary measure are obtained via the Birkhoff ergodic theorem and the Chebyshev inequality.
American Psychological Association (APA)
Liu, Na& Xin, Jie. 2017. Existence of Random Attractor for Stochastic Fractional Long-Short Wave Equations with Periodic Boundary Condition. Discrete Dynamics in Nature and Society،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1151337
Modern Language Association (MLA)
Liu, Na& Xin, Jie. Existence of Random Attractor for Stochastic Fractional Long-Short Wave Equations with Periodic Boundary Condition. Discrete Dynamics in Nature and Society No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1151337
American Medical Association (AMA)
Liu, Na& Xin, Jie. Existence of Random Attractor for Stochastic Fractional Long-Short Wave Equations with Periodic Boundary Condition. Discrete Dynamics in Nature and Society. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1151337
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1151337