具有混合噪声与脉冲效应的时滞分数阶随机微分系统的近似能控性
最优化与控制
2023-01-24 v1
摘要
本文报道了一类由混合分数阶布朗运动驱动、具有无限时滞且 Hurst 参数 的脉冲分数阶随机微分系统。利用不动点技术、-预解族和分数阶微积分，我们讨论了所提系统分段连续温和解的存在性。此外，在适当条件下，我们研究了所考虑系统的近似能控性。最后，通过算例说明了主要结果。
引用
@article{arxiv.2301.09572,
title = {Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects},
author = {Naima Hakkar and Rajesh Dhayal and Amar Debbouche and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2301.09572},
year = {2023}
}
备注
Please cite this paper as follows: Hakkar, N.; Dhayal, R.; Debbouche, A.; Torres, D.F.M. Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects. Fractal Fract. 2023, 7, 104. https://doi.org/10.3390/fractalfract7020104