A study on the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities
OPTOELECTRONICS AND ADVANCED MATERIALS-RAPID COMMUNICATIONS, cilt.11, ss.423-429, 2017 (SCI-Expanded, Scopus)
- 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.