Applications of two reliable methods for solving a nonlinear conformable time-fractional equation
Yazarlar (1)
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Optical and Quantum Electronics (Q3) | ||
| Dergi ISSN | 0306-8919 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 08-2017 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 31-08-2017 |
| Cilt / Sayı / Sayfa | 49 / 9 / 312–0 | DOI | 10.1007/s11082-017-1151-z |
| Makale Linki | http://dx.doi.org/10.1007/s11082-017-1151-z | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| 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 |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 33 |
| Scopus | 36 |
| Google Scholar | 52 |