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Regarding on the exact solutions for the nonlinear fractional differential equations      
Yazarlar
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Murat Koparan
Türkiye
Ahmet Bekir
Türkiye
Özet
In this work, we have considered the modified simple equation (MSE) method for obtaining exact solutions of nonlinear fractional-order differential equations. The space-time fractional equal width (EW) and the modified equal width (mEW) equation are considered for illustrating the effectiveness of the algorithm. It has been observed that all exact solutions obtained in this paper verify the nonlinear ordinary differential equations which was obtained from nonlinear fractional-order differential equations under the terms of wave transformation relationship. The obtained results are shown graphically.
Anahtar Kelimeler
Exact solution | Nonlinear fractional differential equation | The modified Riemann-Liouville derivative | The modified simple equation method
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı OPEN PHYSICS
Dergi ISSN 2391-5471
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q4
Makale Dili İngilizce
Basım Tarihi 01-2016
Cilt No 14
Sayı 1
Sayfalar 478 / 482
Doi Numarası 10.1515/phys-2016-0056
Makale Linki http://dx.doi.org/10.1515/phys-2016-0056