The Existence and Averaging Principle for Caputo Fractional Stochastic Delay Differential Systems with Poisson Jumps

In this paper, we obtain the existence and uniqueness theorem for solutions of Caputo-type fractional stochastic delay differential systems(FSDDSs) with Poisson jumps by utilizing the delayed perturbation of the Mittag–Leffler function. Moreover, by using the Burkholder–Davis–Gundy inequality, Doob’...

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Principais autores:	Zhenyu Bai, Chuanzhi Bai
Formato:	Artigo
Idioma:	Inglês
Publicado em:	MDPI AG 2024-01-01
coleção:	Axioms
Assuntos:	stochastic fractional delay differential systems delayed Mittag–Leffler-type matrix function existence and uniqueness averaging principle <i>L<sup>p</sup></i> convergence
Acesso em linha:	https://www.mdpi.com/2075-1680/13/1/68
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