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This paper discusses the well-posedness of a time-fractional subdiffusion equation with a time-dependent variable-order fractional operator of order \(\alpha (t)\) . The function \(\alpha \) is a piecewise constant function with a finite number of jumps. This short review is based on the work Kian et al. Math. Meth. Appl. Sci. 28(2), 2021.

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Time-fractional Diffusion Equations of Piecewise Constant Time-varying Order

  • 会议论文

  • 发表日期：

    2025年

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  • Yavar Kian,
  • Marián Slodička,
  • Éric Soccorsi,
  • Karel Van Bockstal

摘要

This paper discusses the well-posedness of a time-fractional subdiffusion equation with a time-dependent variable-order fractional operator of order \(\alpha (t)\) . The function \(\alpha \) is a piecewise constant function with a finite number of jumps. This short review is based on the work Kian et al. Math. Meth. Appl. Sci. 28(2), 2021.