• T Bakkyaraj

      Articles written in Pramana – Journal of Physics

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

      T Bakkyaraj R Sahadevan

      More Details Abstract Fulltext PDF

      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

      time-fractional diffusive equation and

      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.

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