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Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion
- Source :
- Complexity, Vol 2020 (2020)
- Publication Year :
- 2020
- Publisher :
- Wiley, 2020.
-
Abstract
- 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.
- Subjects :
- Electronic computers. Computer science
QA75.5-76.95
Subjects
Details
- Language :
- English
- ISSN :
- 10762787 and 10990526
- Volume :
- 2020
- Database :
- Directory of Open Access Journals
- Journal :
- Complexity
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.06cc760a82cb47ce8172a36abea3ebef
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2020/1045760