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

作者：Li Zhiyuan; Yamamoto Masahiro^*

来源：APPLICABLE ANALYSIS, 2015, 94(3): 570-579.

DOI：10.1080/00036811.2014.926335

• determination of fractional orders
• multi-time-fractional derivatives
• fractional diffusion equation
• eigenfunction expansion
• inverse problem
• 35R30
• 35R11
• 44A10

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.

• 出版日期2015-3-4