Hyers–Ulam Stability of Caputo Fractional Stochastic Delay Differential Systems with Poisson Jumps

Hyers–Ulam Stability of Caputo Fractional Stochastic Delay Differential Systems with Poisson Jumps

In this paper, we explore the stability of a new class of Caputo-type fractional stochastic delay differential systems with Poisson jumps. We prove the Hyers–Ulam stability of the solution by utilizing a version of fixed point theorem, fractional calculus, Cauchy–Schwartz inequality, Jensen inequali...

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Bibliographic Details
Main Authors: Zhenyu Bai, Chuanzhi Bai
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Mathematics
Subjects:
stochastic fractional delay differential systems
Hyers–Ulam stability
fixed point theorem
stochastic calculus
Online Access:https://www.mdpi.com/2227-7390/12/6/804

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