Auxiliary equation method for time-fractional differential equations with conformable derivative
Yazarlar (2)
Doç. Dr. Arzu Akbulut Eskişehir Osmangazi Üniversitesi, Türkiye
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Computers and Mathematics with Applications (Q1) | ||
| Dergi ISSN | 0898-1221 Dergi Bilgileri (2018) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 02-2018 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-02-2018 |
| Cilt / Sayı / Sayfa | 75 / 3 / 876–882 | DOI | 10.1016/j.camwa.2017.10.016 |
| Makale Linki | http://dx.doi.org/10.1016/j.camwa.2017.10.016 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| 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 |
Science Direct
Auxiliary equation method for time-fractional differential equations with conformable derivative
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 155 |
| Scopus | 163 |
| Google Scholar | 199 |