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<p>For a diffusion equation with the Djrbashian–Nersesian–Caputo fractional derivative with respect to time, we establish sufficient conditions for the unique solvability of an inverse problem of determination of <i>m</i> unknown functions from the Schwarz-type space of smooth functions rapidly decreasing at infinity with <i>m</i> time-integral overdetermination conditions.</p>

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Problem of Determination of a Source with Unknown Functions in a Fractional Diffusion Equation

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • H. P. Lopushanska,
  • O. M. Myaus,
  • O. V. Pasichnyk

摘要

For a diffusion equation with the Djrbashian–Nersesian–Caputo fractional derivative with respect to time, we establish sufficient conditions for the unique solvability of an inverse problem of determination of m unknown functions from the Schwarz-type space of smooth functions rapidly decreasing at infinity with m time-integral overdetermination conditions.