Inverse Problems of Determining Coefficients of the Fractional Partial Differential Equations
Analysis of PDEs
2019-04-15 v1
Abstract
When considering fractional diffusion equation as model equation in analyzing anomalous diffusion processes, some important parameters in the model, for example, the orders of the fractional derivative or the source term, are often unknown, which requires one to discuss inverse problems to identify these physical quantities from some additional information that can be observed or measured practically. This chapter investigates several kinds of inverse coefficient problems for the fractional diffusion equation.
Keywords
Cite
@article{arxiv.1904.05505,
title = {Inverse Problems of Determining Coefficients of the Fractional Partial Differential Equations},
author = {Zhiyuan Li and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1904.05505},
year = {2019}
}