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Auxiliary Equation Method for Fractional Differential Equations with Modified Riemann Liouville Derivative      
Yazarlar
Doç. Dr. Melike KAPLAN YALÇIN Doç. Dr. Melike KAPLAN YALÇIN
Kastamonu Üniversitesi, Türkiye
Arzu Akbulut
Ahmet Bekir
Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
Dergi ISSN 1565-1339
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 12-2016
Cilt No 17
Sayı 7
Sayfalar 413 / 420
Doi Numarası 10.1515/ijnsns-2016-0023
Makale Linki http://dx.doi.org/10.1515/ijnsns-2016-0023