4.4 Article

The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations

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Publisher

ASME
DOI: 10.1115/1.4028065

Keywords

exact solutions; first integral method; fractional complex transform; time fmKdV equation; space-time fmBBM equation

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In this paper, we establish exact solutions for some nonlinear fractional differential equations (FDEs). The first integral method with help of the fractional complex transform (FCT) is used to obtain exact solutions for the time fractional modified Korteweg-de Vries (fmKdV) equation and the space-time fractional modified Benjamin-Bona-Mahony (fmBBM) equation. This method is efficient and powerful in solving kind of other nonlinear FDEs.

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