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<p>We derive explicit solutions for time-fractional anomalous diffusion equations with diffusivity coefficients that depend on both space and time variables. These solutions are expressed in terms of Fox <i>H</i>-functions and generalized Wright functions, which are commonly used in anomalous diffusion equations. Our research provides valuable insights into anomalous diffusion phenomena and has potential applications in various scientific disciplines.</p>

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Solutions of time fractional anomalous diffusion equations with coefficients depending on both time and space variables

  • 期刊论文

  • 发表日期：

    2026年7月27日

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  • Ganbileg Bat-Ochir,
  • Khongorzul Dorjgotov,
  • Uuganbayar Zunderiya

摘要

We derive explicit solutions for time-fractional anomalous diffusion equations with diffusivity coefficients that depend on both space and time variables. These solutions are expressed in terms of Fox H-functions and generalized Wright functions, which are commonly used in anomalous diffusion equations. Our research provides valuable insights into anomalous diffusion phenomena and has potential applications in various scientific disciplines.