The nonlinear fractional Rayleigh-Stokes problem on an infinite intervalThe nonlinear fractional Rayleigh-Stokes problem on an infinite intervalJ. N. Wang

被引：0
|
作者：
Jing Na Wang [1 ]
机构：
[1] Changsha University of Science and Technology,School of Mathematics and Statistics
来源：
Fractional Calculus and Applied Analysis | 2025年 / 28卷 / 3期
关键词：
Rayleigh-Stokes problem (primary); Riemann–Liouville derivative; Global mild solution; Existence; 26A33 (primary); 35E15; 35R11;
D O I：
10.1007/s13540-025-00408-2
中图分类号：
学科分类号：
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 Arzelà-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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页码：1458 / 1475
页数：17
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