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

Hashemi M., Inc M., Bayramc M.

Revista Mexicana de Fisica, cilt.65, sa.5, ss.529-535, 2019 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 65 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.31349/revmexfis.65.529
  • Dergi Adı: Revista Mexicana de Fisica
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.529-535
  • Anahtar Kelimeler: conformable fractional derivative, Erdélyi-Kober fractional derivative, Lie symmetry analysis, Riemann-Liouville derivative, simplest equation method, Time fractional Kolmogorov-Petrovskii-Piskunov equation
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

© 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.