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<p>Fractional kinetic equations are used to model complex physical processes, including anomalous diffusion, memory effects, and long-range interactions. In this study, a coefficient inverse problem for a fractional kinetic equation is considered. The stability of the solution to the problem is investigated. For this purpose, the coefficient inverse problem is reduced to an inverse source problem. Then the stability estimate is obtained by means of a Carleman inequality.</p>

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Stability estimate for an inverse problem for a fractional kinetic equation via a Carleman inequality

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月10日

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  • İsmet Gölgeleyen,
  • Özlem Kaytmaz,
  • Muhammed Hasdemir

摘要

Fractional kinetic equations are used to model complex physical processes, including anomalous diffusion, memory effects, and long-range interactions. In this study, a coefficient inverse problem for a fractional kinetic equation is considered. The stability of the solution to the problem is investigated. For this purpose, the coefficient inverse problem is reduced to an inverse source problem. Then the stability estimate is obtained by means of a Carleman inequality.