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Permanent URI for this collectionhttps://hdl.handle.net/11452/20668

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Browsing by Subject "(G '/G,1/G)-expansion method"

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    The (G '/G,1/G)-expansion method for solving nonlinear space-time fractional differential equations
    (Indian Acad Sciences, 2015-10-01) Yaşar, Emrullah; Giresunlu, İlker Burak; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0003-4732-5753; AAG-9947-2021; 23471031300; 56971548600
    In this work, we present (G'/G,1/G)-expansion method for solving fractional differential equations based on a fractional complex transform. We apply this method for solving space-time fractional Cahn-Allen equation and space-time fractional Klein-Gordon equation. The fractional derivatives are described in the sense of modified Riemann-Lioville. As a result of some exact solution in the form of hyperbolic, trigonometric and rational solutions are deduced. The obtained solutions may be used for explaining of some physical problems. The (G'/G,1/G)-expansion method has a wider applicability for nonlinear equations. We have verified all the obtained solutions with the aid of Maple.