In this work, the Fokas method is considered to obtain an integral representation of the solution of an initial-boundary value problem for a linear time-fractional Korteweg-de Vries (KdV) equation on a half-line, with Caputo derivative.

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Dirichlet Problem for a Linear Time-Fractional KdV Equation on a Half-Line

  • J. L. Escobar-Figueroa,
  • M. P. Árciga-Alejandre,
  • J. Sanchez-Ortiz,
  • Y. Peña-Pérez

摘要

In this work, the Fokas method is considered to obtain an integral representation of the solution of an initial-boundary value problem for a linear time-fractional Korteweg-de Vries (KdV) equation on a half-line, with Caputo derivative.