A study on the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities

Hosseini K., Xu Y., Mayeli P., Bekir A., Yao P., Zhou Q., ...Daha Fazla

OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, cilt.11, ss.423-429, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11
  • Basım Tarihi: 2017
  • Dergi Adı: OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.423-429
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The nonlinear time-fractional Klein-Gordon equations are a class of fractional partial differential equations which are used for delineation of some physical phenomena in solid state physics, nonlinear optics, and quantum field theory. In this paper, the time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities in the context of the conformable fractional derivative are explored via a recently developed approach named the exp(- phi(epsilon))-expansion method. Various families of solutions, such as the hyperbolic and trigonometric function solutions are formally achieved. Results reveal that the exp(- phi(epsilon))-expansion method is an efficient tool to derive the exact solutions of nonlinear fractional differential equations.