Inverse Problems of Determining Sources of the Fractional Partial Differential Equations
Analysis of PDEs
2019-04-15 v1
Abstract
In this chapter, we mainly review theoretical results on inverse source problems for diffusion equations with the Caputo time-fractional derivatives of order . Our survey covers the following types of inverse problems: 1. determination of time-dependent functions in interior source terms 2. determination of space-dependent functions in interior source terms 3. determination of time-dependent functions appearing in boundary conditions
Keywords
Cite
@article{arxiv.1904.05501,
title = {Inverse Problems of Determining Sources of the Fractional Partial Differential Equations},
author = {Yikan Liu and Zhiyuan Li and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1904.05501},
year = {2019}
}