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io-port 05879570
Gazizov, R.K.; Kasatkin, A.A.; Lukashchuk, S.Y.

Group-invariant solutions of fractional differential equations. (English)

Tenreiro Machado, J. A. (ed.) et al., Nonlinear science and complexity. Based on the 2nd conference on nonlinear science and complexity, NSC ’08, Porto, Portugal, July 28‒31, 2008. Berlin: Springer (ISBN 978-90-481-9883-2/hbk; 978-90-481-9884-9/ebook). 51-59 (2011).

The authors investigate symmetry analysis and its applications to constructing exact solutions on nonlinear fractional differential equations for a class by using infinitesimal transformations and the Caputo fractional derivative based on their paper [Vestn. USATU. 9, 3(21), 125‒135 (2007)].
Reviewer: Chuangan Hu (Cupertino)

Keywords: Lie transformations groups; exact solutions; nonlinear fractional differential equations; Caputo fractional derivative; the infinitesimal operator; fractional Riccati equation

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