Journal
STOCHASTIC ANALYSIS AND APPLICATIONS
Volume 39, Issue 4, Pages 643-666Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/07362994.2020.1824677
Keywords
Impulse fractional stochastic differential equation; Monch fixed point theorem; Hausdorff measure of noncompactness; Hyers-Ulam stability; Fractional Brownian motion
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Funding
- Hunan Provincial Natural Science Foundation of China [14JJ2050]
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The article focuses on the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition. The investigation is mainly based on the semigroups of operators method, Monch fixed points method, and the basic theory of Hyers-Ulam stability.
The article is devoted to the existence and Hyers-Ulam stability of the almost periodic solution to the fractional differential equation with impulse and fractional Brownian motion under nonlocal condition. The investigation is mainly based on the semigroups of operators method and Monch fixed points method, as well as the basic theory of Hyers-Ulam stability.
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