4.5 Article

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

Journal

PHYSICS LETTERS A
Volume 376, Issue 28-29, Pages 2045-2048

Publisher

ELSEVIER
DOI: 10.1016/j.physleta.2012.05.013

Keywords

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

Funding

  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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