publication . Article . Preprint . 2014

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

Zhiyuan Li; Masahiro Yamamoto;
Open Access
  • Published: 07 Mar 2014 Journal: Applicable Analysis, volume 94, pages 570-579 (issn: 0003-6811, eissn: 1563-504X, Copyright policy)
  • Publisher: Informa UK Limited
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.
Persistent Identifiers
free text keywords: Applied Mathematics, Analysis, Mathematics - Analysis of PDEs, Eigenfunction, Mathematics, Laplace transform, Term (time), Pointwise, Mathematical analysis, Inverse problem, Diffusion equation, Fractional calculus, Uniqueness
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