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

2025-12-03

Issue

Contemporary Mathematics, Volume 7 Issue 1 (2026), Forthcoming...

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.