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<p>This paper investigates the inverse problem of recovering spatially dependent source terms in multi-term time-space fractional diffusion equations (MTSFDE) using boundary Cauchy data defined over general bounded domains in high-dimensional spaces. By employing the Laplace transform and leveraging the analyticity properties of the multi-term Mittag-Leffler function, we establish the uniqueness of the solution to the proposed inverse problem.</p>

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Uniqueness of the inverse source problem for multi-term time-space fractional diffusion equations

  • 期刊论文

  • 发表日期：

    2025年8月20日

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  • Y. S. Li,
  • X. X. Xiong,
  • Y. X. Yang

摘要

This paper investigates the inverse problem of recovering spatially dependent source terms in multi-term time-space fractional diffusion equations (MTSFDE) using boundary Cauchy data defined over general bounded domains in high-dimensional spaces. By employing the Laplace transform and leveraging the analyticity properties of the multi-term Mittag-Leffler function, we establish the uniqueness of the solution to the proposed inverse problem.