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Direct and inverse problem of finding unknown time-moment for mixed wave-diffusion equation involving the Riemann-Liuoville fractional derivative have been targeted for a unique solvability. A solution of a first boundary problem for the time-fractional diffusion-wave equation, obtained using Green’s function, played a key role during evaluations. Certain properties of the Wright-type function were effectively utilized, as well.

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On Direct and Inverse Problems for Mixed Wave-Diffusion Equation with the Riemann-Liouville Fractional Derivative

  • 会议论文

  • 发表日期：

    2025年

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  • Erkinjon Karimov,
  • Maftuna Mirzaeva

摘要

Direct and inverse problem of finding unknown time-moment for mixed wave-diffusion equation involving the Riemann-Liuoville fractional derivative have been targeted for a unique solvability. A solution of a first boundary problem for the time-fractional diffusion-wave equation, obtained using Green’s function, played a key role during evaluations. Certain properties of the Wright-type function were effectively utilized, as well.