无穷区间上的非线性分数型Rayleigh-Stokes问题

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2025-04-29 DOI:10.1007/s13540-025-00408-2

Jing Na Wang

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引用次数: 0

摘要

研究了一类广义二阶流体在无限区间上的非线性分数型Rayleigh-Stokes问题温和解的存在性。首先证明了解算子的有界性和连续性。然后，利用Arzelà-Ascoli广义定理和一些新技术，得到了无限区间上的紧性。此外，我们还证明了非线性分数阶Rayleigh-Stokes问题整体温和解的存在性。

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The nonlinear fractional Rayleigh-Stokes problem on an infinite interval

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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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.