Yazarlar |
Arzu Akbulut
|
Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye |
Özet |
In this paper, the auxiliary equation method is applied to obtain analytical solutions of (2 + 1)-dimensional time-fractional Zoomeron equation and the time-fractional third order modified KdV equation in the sense of the conformable fractional derivative. Given equations are converted to the nonlinear ordinary differential equations of integer order; and then, the resulting equations are solved using a novel analytical method called the auxiliary equation method. As a result, some exact solutions for them are successfully established. The exact solutions obtained by the proposed method indicate that the approach is easy to implement and effective. |
Anahtar Kelimeler |
Auxiliary equation method | Conformable fractional derivative | Time-fractional differential equations |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale |
Dergi Adı | COMPUTERS & MATHEMATICS WITH APPLICATIONS |
Dergi ISSN | 0898-1221 |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q1 |
Makale Dili | İngilizce |
Basım Tarihi | 02-2018 |
Cilt No | 75 |
Sayı | 3 |
Sayfalar | 876 / 882 |
Doi Numarası | 10.1016/j.camwa.2017.10.016 |
Makale Linki | http://dx.doi.org/10.1016/j.camwa.2017.10.016 |