Astha Chauhan ; Rajan Arora - Time fractional Kupershmidt equation: symmetry analysis and explicit series solution with convergence analysis

cm:9494 - Communications in Mathematics, December 31, 2019, Volume 27 (2019), Issue 2 - https://doi.org/10.2478/cm-2019-0013
Time fractional Kupershmidt equation: symmetry analysis and explicit series solution with convergence analysisArticle

Authors: Astha Chauhan ; Rajan Arora

    In this work, the fractional Lie symmetry method is applied for symmetry analysis of time fractional Kupershmidt equation. Using the Lie symmetry method, the symmetry generators for time fractional Kupershmidt equation are obtained with Riemann-Liouville fractional derivative. With the help of symmetry generators, the fractional partial differential equation is reduced into the fractional ordinary differential equation using Erdélyi-Kober fractional differential operator. The conservation laws are determined for the time fractional Kupershmidt equation with the help of new conservation theorem and fractional Noether operators. The explicit analytic solutions of fractional Kupershmidt equation are obtained using the power series method. Also, the convergence of the power series solutions is discussed by using the implicit function theorem.


    Volume: Volume 27 (2019), Issue 2
    Published on: December 31, 2019
    Imported on: May 11, 2022
    Keywords: General Mathematics,[MATH]Mathematics [math]

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