Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation

By Zhi-yuan Li, Masahiro Yamamoto. 2014

117 citations recorded by the source corpus.

This article proves the uniqueness for two kinds of inverse problems of identifying fractional orders in diffusion equations with multiple time-fractional derivatives by pointwise observation. By means of eigenfunction expansion and Laplace transform, we reduce the uniqueness for our inverse problems to the uniqueness of expansions of some special function and complete the proof.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/44ea30153c8ac30e680dca5ff63d9a73c8baaa7d

Citations in the corpus

• A tutorial on inverse problems for anomalous diffusion processes (2015, unknown): “In theory, these parameters can be determined from the underlying stochastic model, but often in practice, they are determined from experimental data [34, 35, 61].”