A novel analytical method for time-fractional differential equations
Yazarlar (2)
Doç. Dr. Melike KAPLAN YALÇIN Kastamonu Üniversitesi, Türkiye
Ahmet Bekir
Eskişehir Osmangazi Üniversitesi, Türkiye
Makale Türü Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Optik
Dergi ISSN 0030-4026 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 10-2016
Cilt / Sayı / Sayfa 127 / 20 / 8209–8214 DOI 10.1016/j.ijleo.2016.05.152
Makale Linki https://www.sciencedirect.com/science/article/pii/S0030402616306052
UAK Araştırma Alanları
Özet
In this paper, we have proposed a exp(−Φ(ξ)) method to establish hyperbolic, trigonometric and rational function solutions for fractional differential equations in the sense of modified Riemann–Liouville derivative. To illustrate the validity of this method, we solve the time-fractional Sharma–Tasso–Olver and (3 + 1)-dimensional time fractional Korteweg–de Vries–Zakharov-Kuznetsov (KdV-ZK) equations. This type of method will be newly submitted to literature to construct exact solutions of nonlinear fractional differential equations (NFDEs).
Anahtar Kelimeler
Exact solutions | Fractional complex transform | Symbolic computation | The exp(−Φ(ξ)) method | The time fractional differential equations
Science Direct
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 79
Scopus 82
Google Scholar 99
A novel analytical method for time-fractional differential equations

Paylaş