Analytical solutions for Navier–Stokes equations with Caputo fractional derivative

• D. S. Oliveira ^[1] ; E. Capelas de Oliveira ^[2]
  1. [1] Universidade Tecnológica Federal do Paraná

     Universidade Tecnológica Federal do Paraná

     Brasil

     
  2. [2] Imecc-Unicamp
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 78, Nº. 1, 2021, págs. 137-154
• Idioma: inglés
• DOI: 10.1007/s40324-020-00232-z
• Texto completo no disponible (Saber más ...)
• Resumen

  • This work aims to use the homotopy analysis method to obtain analytical solutions of the linear time-fractional Navier–Stokes equation with cylindrical coordinates and also of a system of nonlinear time-fractional Navier–Stokes equations with Cartesian coordinates. These equations are described by means of ψ-Caputo fractional derivative in time and contain results of particular cases given in the literature. The solutions obtained for time-fractional Navier–Stokes equations are graphically presented.