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

Hashemi M., Inc M., Bayramc M.

Revista Mexicana de Fisica, vol.65, no.5, pp.529-535, 2019 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 65 Issue: 5
  • Publication Date: 2019
  • Doi Number: 10.31349/revmexfis.65.529
  • Journal Name: Revista Mexicana de Fisica
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.529-535
  • Keywords: conformable fractional derivative, Erdélyi-Kober fractional derivative, Lie symmetry analysis, Riemann-Liouville derivative, simplest equation method, Time fractional Kolmogorov-Petrovskii-Piskunov equation
  • Istanbul Gelisim University Affiliated: Yes

Abstract

© 2019In 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.