Solutions of local fractional sine-Gordon equations
Waves in Random and Complex Media, cilt.29, sa.2, ss.227-235, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.1080/17455030.2018.1425572
- Dergi Adı: Waves in Random and Complex Media
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.227-235
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we study sine-Gordon equation in order to obtain exact solitary wave solutions in the domain of fractional calculus. By using the definition of conformable fractional derivative, we obtain analytical solutions of time, space and time-space fractional sine-Gordon equations. We analyze graphically the effect of fractional order on evolution of the kink and antikink type solitons.