Auxiliary Equation Method for Fractional Differential Equations with Modified Riemann Liouville Derivative
Yazarlar (3)
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Doç. Dr. Arzu Akbulut Eskişehir Osmangazi Üniversitesi, Türkiye
Ahmet Bekir
Eskişehir Osmangazi Üniversitesi, Türkiye
Eskişehir Osmangazi Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | International Journal of Nonlinear Sciences and Numerical Simulation (Q2) | ||
| Dergi ISSN | 1565-1339 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 12-2016 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-12-2016 |
| Cilt / Sayı / Sayfa | 17 / 7 / 413–420 | DOI | 10.1515/ijnsns-2016-0023 |
| Makale Linki | http://dx.doi.org/10.1515/ijnsns-2016-0023 | ||
| UAK Araştırma Alanları |
Uygulamalı Matematik
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| Özet |
| In this work, the auxiliary equation method is applied to derive exact solutions of nonlinear fractional Klein–Gordon equation and space-time fractional Symmetric Regularized Long Wave equation. Consequently, some exact solutions of these equations are successfully obtained. These solutions are formed in fractional complex transform to convert fractional differential equations into ordinary differential equations. The fractional derivatives are described in Jumarie’s modified Riemann–Liouville sense. The exact solutions founded by the suggested method indicate that the approach is easy to implement and powerful. |
| Anahtar Kelimeler |
| auxiliary equation method | fractional complex transform | modified Riemann-Liouville derivative | the space-time fractional differential equations |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 24 |
| Scopus | 31 |
| Google Scholar | 41 |