Symmetry properties and exact solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equation

• M.S. Hashemi ^[1] ; M. Inc ^[2] ; M. Bayram ^[3]
  1. [1] University of Bonab

     University of Bonab

     Irán

     
  2. [2] Fırat University

     Fırat University

     Turquía

     
  3. [3] Istanbul Gelisim University, Turkey

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• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 65, Nº. 5, 2019, págs. 529-535
• Idioma: inglés
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• Resumen

  • In this paper, the time fractional Kolmogorov-Petrovskii-Piskunov (TFKPP) equation is analyzed by means of Lie symmetry approach. The TFKPP is reduced to ordinary differential equation of fractional order via the attained point symmetries. Moreover, the simplest equation method is used in construct the exact solutions of underlying equation with recently introduced conformable fractional derivative.