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Exp-Function Method and Fractional Complex Transform for Space-Time Fractional KP-BBM Equation 被引量:10

Exp-Function Method and Fractional Complex Transform for Space-Time Fractional KP-BBM Equation
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摘要 In the present article, He's fractional derivative, the ansatz method, the ( C / G)-expansion method, and the exp-function method are used to construct the exact solutions of nonlinear space-time fractional Kadomtsev-Petviashvili- Benjamin-Bona Mahony (KP-BBM). As a result, different types of exact solutions are obtained. Also we have examined the relation between the solutions obtained from the different methods. These methods are an efficient mathematical tool for solving fractional differential equations (FDEs) and it can be applied to other nonlinear FDEs.
作者 Ozkan Guner
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第8期149-154,共6页 理论物理通讯(英文版)
关键词 ansatz method exp-function method He's fractional derivative (G'/G)-expansion method spacetime fractional KP-BBM equation 分数阶导数 函数法 BBM方程 空间时间 非线性泛函微分方程 分数阶微分方程 数学工具 精确解
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