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On a new technique for solving the nonlinear conformable time-fractional differential equations      
Yazarlar
Kamyar Hosseini
Ahmet Bekir
Türkiye
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Özkan Güner
Türkiye
Özet
Real-world phenomena often are modelled by the nonlinear fractional differential equations. In this work, a novel technique called the exp (-) 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 exp (-) method in solving nonlinear FDEs is proved.
Anahtar Kelimeler
Conformable derivative | Exact solutions | Exp (-) method | Time-fractional CH equation | Time-fractional modified BBM equation
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı OPTICAL AND QUANTUM ELECTRONICS
Dergi ISSN 0306-8919
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q3
Makale Dili İngilizce
Basım Tarihi 11-2017
Cilt No 49
Sayı 11
Doi Numarası 10.1007/s11082-017-1178-1
Makale Linki http://dx.doi.org/10.1007/s11082-017-1178-1