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Auxiliary equation method for time-fractional differential equations with conformable derivative      
Yazarlar
Arzu Akbulut
Doç. Dr. Melike KAPLAN YALÇIN 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