Initial-boundary value problems for multi-term time-fractional wave equations

被引：6

作者：

Sin, Chung-Sik ^{[1
]}

Rim, Jin-U ^{[1
]}

Choe, Hyon-Sok ^{[1
]}

机构：

[1] Kim II Sung Univ, Pyongyang, North Korea

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 05期

关键词：

Caputo derivative; Multivariate Mittag-Leffler function; Time-fractional wave equation; Laplace transform; VISCOELASTIC FLUID; DIFFUSION-EQUATIONS; MAXWELL MODEL; UNIQUENESS; FLOW;

D O I：

10.1007/s13540-022-00080-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we deal with the well-posedness and the long-time behavior of the initial-boundary value problems for the multi-term Caputo time-fractional wave equations. First, by proving a new property concerned with the boundedness of the multivariate Mittag-Leffler functions, the unique existence of the weak solution is established. Also, we show that the solution depends on the parameters of the equation in a continuous way. In addition, the H-2-decay rate of the solution is represented in terms of some orders of the fractional derivative.

引用

页码：1994 / 2019

页数：26

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