Scholarlink

<p>We consider the well-posedness of the initial-boundary value problem for a time-fractional partial differential equation with the fractional order lying in (1,2]. For the case of time-dependent coefficients, it is difficult to give an explicit solution formula by the eigenfunction expansion method. In order to deal with the case of time-varying coefficients, we first show the unique existence and regularity of solution to a system of time-fractional ordinary differential equations. Then, the well-posedness results are derived by using the Galerkin method.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Well-posedness of initial-boundary value problem for time-fractional diffusion/wave equation with time-dependent coefficients

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年6月27日

查看全文
  • Xinchi Huang,
  • Masahiro Yamamoto

摘要

We consider the well-posedness of the initial-boundary value problem for a time-fractional partial differential equation with the fractional order lying in (1,2]. For the case of time-dependent coefficients, it is difficult to give an explicit solution formula by the eigenfunction expansion method. In order to deal with the case of time-varying coefficients, we first show the unique existence and regularity of solution to a system of time-fractional ordinary differential equations. Then, the well-posedness results are derived by using the Galerkin method.