Uniqueness Result for Inverse Problem of Determining Coefficient and Source Term in a Two-Term Time Fractional Diffusion Equation

Authors

  • Xianzheng Jia School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, China https://orcid.org/0000-0003-0132-5184
  • Gongsheng Li School of Mathematics and Statistics, Shandong University of Technology, Zibo, 255000, China

DOI:

https://doi.org/10.37256/cm.7120268713

Keywords:

two-term time fractional diffusion equation, uniqueness, inverse problems, eigenfunction expansion, Mittag-Leffler function

Abstract

In this paper, a two term time fractional diffusion equation is considered. Based on the technique of eigenfunction expansion and the Laplace transform, a uniqueness result for inverse problem of simultaneously determining coefficient r and source term f(x) is obtained.

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Published

2026-01-06

How to Cite

1.
Jia X, Li G. Uniqueness Result for Inverse Problem of Determining Coefficient and Source Term in a Two-Term Time Fractional Diffusion Equation. Contemp. Math. [Internet]. 2026 Jan. 6 [cited 2026 Jan. 8];7(1):583-92. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/8713