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Exponential rational function method for space time fractional differential equations      
Yazarlar
Esin Aksoy
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Ahmet Bekir
Türkiye
Özet
In this paper, exponential rational function method is applied to obtain analytical solutions of the space-time fractional Fokas equation, the space-time fractional Zakharov Kuznetsov Benjamin Bona Mahony, and the space-time fractional coupled Burgers' equations. As a result, some exact solutions for them are successfully established. These solutions are constructed 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 obtained by the proposed method indicate that the approach is easy to implement and effective.
Anahtar Kelimeler
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı WAVES IN RANDOM AND COMPLEX MEDIA
Dergi ISSN 1745-5030
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 04-2016
Cilt No 26
Sayı 2
Sayfalar 142 / 151
Doi Numarası 10.1080/17455030.2015.1125037
Makale Linki http://dx.doi.org/10.1080/17455030.2015.1125037