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An effective analytic approach for solving nonlinear fractional partial differential equations

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Abstract.

Nonlinear fractional differential equations are widely used for modelling problems in applied mathematics. A new analytic approach with two parameters c1 and c2 is first proposed for solving nonlinear fractional partial differential equations. These parameters are used to improve the accuracy of the resulting series approximations. It turns out that much more accurate series approximations are obtained by choosing proper values of c1 and c2. To demonstrate the applicability and effectiveness of the new method, two typical fractional partial differential equations, the nonlinear gas dynamics equation and the nonlinear KdV-Burgers equation, are solved.

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Authors and Affiliations

  1. School of Mathematical Sciences, Dalian University of Technology, 116024, Dalian, China

    Junchi Ma, Xiaolong Zhang & Songxin Liang

Authors
  1. Junchi Ma
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  2. Xiaolong Zhang
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  3. Songxin Liang
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Correspondence to Junchi Ma.

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Ma, J., Zhang, X. & Liang, S. An effective analytic approach for solving nonlinear fractional partial differential equations. Eur. Phys. J. Plus 131, 276 (2016). https://doi.org/10.1140/epjp/i2016-16276-2

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  • DOI: https://doi.org/10.1140/epjp/i2016-16276-2

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