Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-05
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a generalized Gronwall inequality is demonstrated, playing an important role in the study of fractional differential equations.
In addition, with the fixed-point theorem and the properties of Mittag–Leffler functions, some results of the existence as well as asymptotic stability of square-mean S-asymptotically periodic solutions to a fractional stochastic diffusion equation with fractional Brownian motion are obtained.
In the end, an example of numerical simulation is given to illustrate the effectiveness of our theory results.
American Psychological Association (APA)
Mu, Jia& Nan, Jiecuo& Zhou, Yong. 2020. Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139862
Modern Language Association (MLA)
Mu, Jia…[et al.]. Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1139862
American Medical Association (AMA)
Mu, Jia& Nan, Jiecuo& Zhou, Yong. Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139862
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139862