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The existence and averaging principle for stochastic fractional differential equations with impulses.
- Source :
- Mathematical Methods in the Applied Sciences; Apr2023, Vol. 46 Issue 6, p6857-6874, 18p
- Publication Year :
- 2023
-
Abstract
- In this paper, a class of fractional stochastic differential equations (SFDEs) with impulses is considered. By virtue of Mönch's fixed point theorem and Banach contraction principle, we explore the existence and uniqueness of solutions to the addressed system. Furthermore, with the aid of the Jensen inequality, Hölder inequality, Burkholder–Davis–Gundy inequality, Grönwall–Bellman inequality, and some novel assumptions, the averaging principle of our considered system is obtained. At the end of this paper, an example is provided to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 46
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 162434051
- Full Text :
- https://doi.org/10.1002/mma.8945