On Existence and Uniqueness of Solution for Space-Time Fractional Zener Model

被引：4
|
作者：
Ichou, M. Ait [1 ,2 ]
El Amri, H. [1 ]
Ezziani, A. [2 ]
机构：
[1] Hassan II Univ Casablanca, Lab LMA ENS, Casablanca, Morocco
[2] Hassan II Univ Casablanca, Lab MAEGE FSJES Ain Sebaa, Casablanca, Morocco
来源：
ACTA APPLICANDAE MATHEMATICAE | 2020年 / 170卷 / 01期
关键词：
Energy decay; Fractional derivative; Strong solution; Viscoelastic waves; Zener's model; 86-08; DIFFERENTIAL-EQUATIONS; CALCULUS;
D O I：
10.1007/s10440-020-00348-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present the construction and analysis of a fractional Zener model for modeling waves propagation in dissipative media, which leads to a more realistic mathematical model. We achieve its mathematical analysis: existence and uniqueness of solution and energy decay. We extend this result for a generalized fractional Zener model. A prior estimation of the solution is provided.
引用
收藏
页码：593 / 609
页数：17
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