On a new technique for solving the nonlinear conformable time-fractional differential equations
OPTICAL AND QUANTUM ELECTRONICS, cilt.49, sa.11, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 49 Sayı: 11
- Basım Tarihi: 2017
- Doi Numarası: 10.1007/s11082-017-1178-1
- Dergi Adı: OPTICAL AND QUANTUM ELECTRONICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
Real-world phenomena often are modelled by the nonlinear fractional differential equations. In this work, a novel technique called the exp(-phi(epsilon)) method is employed to find the exact solutions of nonlinear FDEs. Some well-known time-fractional differential equations in the context of conformable derivative, viz. the time-fractional modified Benjamin-Bona-Mahony (BBM) equation and the time-fractional Cahn-Hilliard (CH) equation are considered to test the usefulness of the method. The utility of the expd (-phi(epsilon)) method in solving nonlinear FDEs is proved.