Invariant analysis of nonlinear fractional ordinary differential equations with Riemann–Liouville fractional derivative

Author:

Bakkyaraj T.,Sahadevan R.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Reference27 articles.

1. Bakkyaraj, T., Sahadevan, R.: An approximate solution to some classes of fractional nonlinear partial differential-difference equation using Adomian decomposition method. J. Fract. Calc. Appl. 5(1), 37–52 (2014)

2. Bakkyaraj, T., Sahadevan, R.: On solutions of two coupled fractional time derivative Hirota equations. Nonlinear Dyn. 77, 1309–1322 (2014)

3. Bluman, G.W., Anco, S.: Symmetry and Integration Methods for Differential Equations. Springer, Heidelburg (2002)

4. Buckwar, E., Luchko, Y.: Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations. J. Math. Anal. Appl. 227, 81–97 (1998)

5. Djordjevic, V.D., Atanackovic, T.M.: Similarity solutions to nonlinear heat conduction and Burgers/Korteweg–deVries fractional equations. J. Comput. Appl. Math. 212, 701–714 (2008)

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