论文标题
$μ$中性分数多删除的微分方程
The $μ$-neutral fractional multi-delayed differential equations
论文作者
论文摘要
引入了$μ$ - 中性线性分数多删除的差异非均匀系统，具有非共同系数矩阵。提出了新颖的$μ$ - 中性多延迟的米塔格 - leffler型矩阵函数的扰动。基于此，对系统的明确解决方案进行了逐步研究。关于上述规范，获得了对$ $ $中性非线性分数多延迟差异系统的溶液的存在唯一性。从固定点方法的理由讨论了从描述系统的解决方案意义上的稳定性分析概念。
The $μ$-neutral linear fractional multi-delayed differential nonhomogeneous system with noncommutative coefficient matrices is introduced. The novel $μ$-neutral multi-delayed perturbation of Mittag-Leffler type matrix function is proposed. Based on this, an explicit solution to the system is investigated step by step. The existence uniqueness of solutions to $μ$-neutral nonlinear fractional multi-delayed differential system is obtained with regard to the supremum norm. The notion of stability analysis in the sense of solutions to the described system is discussed on the grounds of the fixed point approach.
