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Applications of two reliable methods for solving a nonlinear conformable time-fractional equation      
Yazarlar
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Özet
The current work presents analytical solutions of a nonlinear conformable time-fractional equation by using two different techniques. These are the modified simple equation method and the exponential rational function method. Based on the conformable fractional derivative and traveling wave transformation, the fractional partial differential equation is turned into the nonlinear non-fractional ordinary differential equation. Therefore, we implement the algorithms to this nonlinear non-fractional ordinary differential equation. To the best of our knowledge, the exact solutions obtained in this paper might be very useful in various areas of applied mathematics in interpreting some physical phenomena.
Anahtar Kelimeler
Conformable derivative | Exact solutions | Exponential rational function method | Modified simple equation method
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 09-2017
Cilt No 49
Sayı 9
Sayfalar 312 / 0
Doi Numarası 10.1007/s11082-017-1151-z
Makale Linki http://dx.doi.org/10.1007/s11082-017-1151-z