数学
理论(学习稳定性)
应用数学
泊松分布
随机微分方程
差速器(机械装置)
数学分析
物理
计算机科学
统计
热力学
机器学习
作者
Rajesh Dhayal,Muslim Malik
标识
DOI:10.1080/00207721.2024.2389326
摘要
This paper aims to investigate a new class of fractional stochastic differential systems under the influence of damping and Poisson jumps. First, the existence and uniqueness of mild solutions for the proposed system are investigated under the non-Lipschitz conditions. The results are formulated and proved by using the (β,δ)-regularised family, Grönwall's inequality, and successive approximation technique, which is different from the fixed point approach. Moreover, novel stability criteria for the considered system are obtained by utilising the corollary of the Bihari inequality. Finally, the correctness of the obtained results is verified by example.
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