论文标题
关于涉及延迟的半线性广义雷利 - 斯托克斯方程的稳定性
On stability for semilinear generalized Rayleigh-Stokes equation involving delays
论文作者
论文摘要
我们考虑一个涉及分数衍生物的功能性半线性雷利 - 斯托克斯方程。我们的目的是分析某些情况，在全球解决性和解决方案渐近行为的一些结果。通过建立新的HALANAY类型不平等，我们显示了解决方案对我们问题的消失性和渐近稳定性。此外，我们通过使用局部估计和固定点参数证明了一组紧凑型衰减解决方案的存在。
We consider a functional semilinear Rayleigh-Stokes equation involving fractional derivative. Our aim is to analyze some circumstances, in those the global solvability and some results on asymptotic behavior of solutions take place. By establishing a new Halanay type inequality, we show the dissipativity and asymptotic stability of solutions to our problem. In addition, we prove the existence of a compact set of decay solutions by using local estimates and fixed point arguments.
