Homogenization and inverse problems for fractional diffusion equations

被引：0
|
作者：
Atsushi Kawamoto
Manabu Machida
Masahiro Yamamoto
机构：
[1] Takushoku University,Faculty of Engineering
[2] Kindai University,Department of Informatics, Faculty of Engineering
[3] The University of Tokyo,Graduate School of Mathematical Sciences
[4] Honorary Member of Academy of Romanian Scientists,undefined
[5] Correspondence Member of Accademia Peloritana dei Pericolanti Palazzo Università,undefined
来源：
Fractional Calculus and Applied Analysis | 2023年 / 26卷
关键词：
Fractional diffusion equation (primary); Homogenization; Inverse problem; Caputo fractional derivative; 35R11 (primary); 35R30; 35B27; 26A33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider the homogenization for time-fractional diffusion equations in a periodic structure. First, we derive the homogenized time-fractional diffusion equations. Next, we prove the stability in determining a constant diffusion coefficient by minimum data. Moreover, we investigate the inverse problems of estimating the homogenized diffusion coefficient by the data for non-homogenized structure.
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页码：2118 / 2165
页数：47
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