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In this paper, the Lie symmetry analysis is performed for the time fractional Porous-Fisher equation. Based on the obtained infinitesimal generators, the studied fractional equation can be transformed into a non-linear ordinary differential equation in terms of the Erdélyi-Kober fractional operator, and the reduced equation is solved with an explicit power series method. Using Ibragimov’s method, some conservation laws are established.

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Lie Symmetry Analysis and Conservation Laws for a Time Fractional Porous-Fisher Equation

  • 会议论文

  • 发表日期：

    2025年

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  • B. El Ansari,
  • E. H. El Kinani,
  • A. Ouhadan

摘要

In this paper, the Lie symmetry analysis is performed for the time fractional Porous-Fisher equation. Based on the obtained infinitesimal generators, the studied fractional equation can be transformed into a non-linear ordinary differential equation in terms of the Erdélyi-Kober fractional operator, and the reduced equation is solved with an explicit power series method. Using Ibragimov’s method, some conservation laws are established.