The nonlinear fractional Rayleigh-Stokes problem on an infinite interval

被引：0
|
作者：
Wang, Jing Na [1 ]
机构：
[1] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2025年
基金：
中国国家自然科学基金;
关键词：
Rayleigh-Stokes problem (primary); Riemann-Liouville derivative; Global mild solution; Existence; GENERALIZED 2ND-GRADE FLUID; MAXWELL; EDGE;
D O I：
10.1007/s13540-025-00408-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of mild solutions of the nonlinear fractional Rayleigh-Stokes problem for a generalized second grade fluid on an infinite interval. We firstly show the boundedness and continuity of solution operator. And then, by using a generalized Arzel & agrave;-Ascoli theorem and some new techniques, we get the compactness on the infinite interval. Moreover, we prove the existence of global mild solutions of nonlinear fractional Rayleigh-Stokes problem.
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页数：18
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