论文类型：期刊论文
第一作者：Yongqiang Zhao
通讯作者：Yanbin Tang
发表刊物：Networks and Heterogeneous Media
收录刊物：SCI
所属单位：华中科技大学
刊物所在地：USA
学科门类：理学
一级学科：数学
项目来源：国家自然科学基金
文献类型：J
卷号：18
期号：3
页面范围：1024–1058
ISSN号：1556-1801
DOI码：10.3934/nhm.2023045
发表时间：2023-03-24
影响因子：1.41
摘要：In this paper, we investigate the abstract integro-differential time-fractional wave equation with a small positive parameter ε. The Lp − Lq estimates for the resolvent operator family are obtained using the Laplace transform, the Mittag-Leffler operator family, and the C0−semigroup. These estimates serve as the foundation for some fixed point theorems that demonstrate the local-in-time existence of the solution in weighted function space. We first demonstrate that, for acceptable indices p ∈ [1, +∞) and s ∈ (1, +∞), the mild solution of the approximation problem converges to the solution of the associated limit problem in Lp((0, T), Ls(Rn)) as ε → 0+. The resolvent operator family and a set of kernel k(t) assumptions form the foundation of the proof’s primary methodology for evaluating norms. Moreover, we consider the asymptotic behavior of solutions as α → 2−.
字数：30000
