4.5 Article

Exact solutions of nonlinear fractional differential equations by (G′/G)-expansion method

期刊

CHINESE PHYSICS B
卷 22, 期 11, 页码 -

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IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/22/11/110202

关键词

(G '/G)-expansion method; time-fractional Burgers equation; fractional-order biological population model; space-time fractional Whitham-Broer-Kaup equations

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In this paper, we use the fractional complex transform and the (G'/G)-expansion method to study the nonlinear fractional differential equations and find the exact solutions. The fractional complex transform is proposed to convert a partial fractional differential equation with Jumarie's modified Riemann-Liouville derivative into its ordinary differential equation. It is shown that the considered transform and method are very efficient and powerful in solving wide classes of nonlinear fractional order equations.

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