• Group formalism of Lie transformations to time-fractional partial differential equations

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      https://www.ias.ac.in/article/fulltext/pram/085/05/0849-0860

    • Keywords

       

      Lie symmetry analysis; Fractional partial differential equation; Riemann–Liouville fractional derivative; Mittag–Leffler function; Erdélyi–Kober operators.

    • Abstract

       

      A systematic method is given to derive Lie point symmetries of time-fractional partial differential equation with Riemann–Liouville fractional derivative and its applicability illustrated through

      1. time-fractional diffusive equation and

      2. time-fractional cylindrical Korteweg–de Vries equation.

      Using the Lie point symmetries obtained, we show that each of them has been transformed into ordinary differential equation of fractional order with a new independent variable. We also explain how exact or invariant solutions can be derived from the obtained point symmetries.

    • Author Affiliations

       

      T Bakkyaraj1 R Sahadevan1

      1. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai 600 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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