# Inverse Problems of Determining Coefficients of the Fractional Partial Differential Equations

## TL;DR

This paper explores inverse problems in fractional diffusion equations, focusing on identifying unknown parameters like fractional orders and source terms from observable data, which is crucial for modeling anomalous diffusion.

## Contribution

It provides a comprehensive analysis of inverse coefficient problems for fractional diffusion equations, addressing the identification of key physical parameters.

## Key findings

- Develops methods for solving inverse problems in fractional PDEs
- Provides theoretical results on uniqueness and stability
- Offers insights into practical parameter recovery

## 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.