Inverse problems of determining coefficients of the fractional partial differential equations
Zhiyuan LiSchool of Mathematics and Statistics Shandong University of Technology Zibo, Shandong 255049, ChinaMasahiro YamamotoGraduate School of Mathematical Sciences The University of Tokyo 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
2019en
ABI
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.
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