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Published version

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2016-06-23

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cc-by (c) Fiel et al., 2016
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/216546

Stability for a class of semilinear fractional stochastic integral equations

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https://doi.org/10.1186/s13662-016-0895-2

Abstract

In this paper we study some stability criteria for some semilinear integral equations with a function as initial condition and with additive noise, which is a Young integral that could be a functional of fractional Brownian motion. Namely, we consider stability in the mean, asymptotic stability, stability, global stability, and Mittag-Leffler stability. To do so, we use comparison results for fractional equations and an equation (in terms of Mittag-Leffler functions) whose family of solutions includes those of the underlying equation.

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Equacions diferencials ordinàries, Processos estocàstics, Moviment brownià

Subject (English)

Ordinary differential equations, Stochastic processes, Brownian movements

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Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

FIEL, Alan, LEÓN, Jorge A. and MÁRQUEZ, David (Márquez Carreras). Stability for a class of semilinear fractional stochastic integral equations. 2016. ISSN 1687-1847. [consulted: 17 of August of 2026]. Available at: https://hdl.handle.net/2445/216546

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