The well-posedness analysis in Besov-type spaces for multi-term time-fractional wave equations

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2024-10-21 DOI:10.1007/s13540-024-00348-3

Yubin Liu, Li Peng

引用次数: 0

Abstract

In this paper, we consider the initial value problems for multi-term time-fractional wave equations in the framework of Besov spaces, which can be described the Couette flow of viscoelastic fluid. Considering the initial data in Besov spaces, we obtain some results about the local well-posedness and the blow-up of mild solutions for the proposed problem. Further, we extend these results to Besov–Morrey spaces.

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多期时间分式波方程在贝索夫类型空间中的拟合分析

本文考虑了贝索夫空间框架下的多期时间分数波方程的初值问题，该方程可用于描述粘弹性流体的库特流。考虑到贝索夫空间中的初始数据，我们得到了一些关于所提问题的局部好求和温和解炸毁的结果。此外，我们还将这些结果扩展到贝索夫-莫雷空间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.