ABSTRACT

This study is concerned with the existence of mild solution for the analysis of the moment stability of fractional stochastic differential inclusions driven by the Rosenblatt process and Poisson jumps with impulses in a Hilbert space. The results are established by using the fixed point theorem, multi-valued functions, and fractional calculus. Finally, numerical simulation is implemented to verify the attained theoretical results.

中文翻译：

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pth通过Rosenblatt过程和脉冲的泊松跳跃驱动的分解算子对分数阶随机微分包含物的矩稳定性

摘要

这项研究与温和解的存在有关，该温和解用于分析在希尔伯特空间中由Rosenblatt过程和泊松跳跃带动的分数阶随机微分包含物的矩稳定性。通过使用不动点定理，多值函数和分数演算来建立结果。最后，通过数值模拟验证了所获得的理论结果。