4.5 Article

Backlund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations

期刊

PHYSICS LETTERS A
卷 376, 期 28-29, 页码 2045-2048

出版社

ELSEVIER
DOI: 10.1016/j.physleta.2012.05.013

关键词

Backlund transformation; Fractional Riccati equation; Exact solution; Fractional differential equation

资金

  1. Anhui University [02303319]

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In this Letter, the fractional derivatives in the sense of modified Riemann-Liouville derivative and the Backlund transformation of fractional Riccati equation are employed for constructing the exact solutions of nonlinear fractional partial differential equations. The power of this manageable method is presented by applying it to several examples. This approach can also be applied to other nonlinear fractional differential equations. (C) 2012 Elsevier B.V. All rights reserved.

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