• Invariant subspaces and exact solutions for some types of scalar and coupled time-space fractional diffusion equations

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      https://www.ias.ac.in/article/fulltext/pram/094/0103

    • Keywords

       

      Time-space fractional partial differential equations; invariant subspace method; Laplace transformation technique; Mittag–Leffler function

    • Abstract

       

      We explain how the invariant subspace method can be extended to a scalar and coupled system of time-space fractional partial differential equations. The effectiveness and applicability of the method have been illustrated using time-space (i) fractional diffusion-convection equation, (ii) fractional reaction-diffusion equation, (iii) fractional diffusion equation with source term, (iv) two-coupled system of fractional diffusion equation, (v) two-coupled system of fractional stationary transonic plane-parallel gas flow equation and (vi) three-coupled system of fractional Hirota–Satsuma KdV equation. Also, we explicitly showed how to derive more than one exact solution of the equations as mentioned above using the invariant subspace method.

    • Author Affiliations

       

      PRAKASH P1

      1. Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Coimbatore 641 112, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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