Comparison of Five Numerical Schemes for Fractional Differential Equations
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[1] T. Poinot,et al. MODELLING AND SIMULATION OF FRACTIONAL SYSTEMS USING A NON INTEGER INTEGRATOR , 2003 .
[2] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[3] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[4] J. A. Tenreiro Machado,et al. Discrete-time fractional-order controllers , 2001 .
[5] O. Agrawal,et al. A Numerical Scheme for Dynamic Systems Containing Fractional Derivatives , 2002 .
[6] N. Ford,et al. Analysis of Fractional Differential Equations , 2002 .
[7] Igor M. Sokolov,et al. Physics of Fractal Operators , 2003 .
[8] Kai Diethelm,et al. Efficient Solution of Multi-Term Fractional Differential Equations Using P(EC)mE Methods , 2003, Computing.
[9] F. Mainardi,et al. Fractals and fractional calculus in continuum mechanics , 1997 .
[10] Yury F. Luchko,et al. Algorithms for the fractional calculus: A selection of numerical methods , 2005 .
[11] Richard L Magin,et al. Fractional calculus in bioengineering, part 2. , 2004, Critical reviews in biomedical engineering.
[12] I. Podlubny. Fractional differential equations , 1998 .
[13] M. Shitikova,et al. Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids , 1997 .
[14] N. Ford,et al. A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations , 2013 .
[15] L. Gaul,et al. Impulse response function of an oscillator with fractional derivative in damping description , 1989 .
[16] Joseph Padovan,et al. Computational algorithms for FE formulations involving fractional operators , 1987 .
[17] Kai Diethelm,et al. Multi-order fractional differential equations and their numerical solution , 2004, Appl. Math. Comput..
[18] Luis E. Suarez,et al. An Eigenvector Expansion Method for the Solution of Motion Containing Fractional Derivatives , 1997 .
[19] Carl F. Lorenzo,et al. Initialized Fractional Calculus , 2000 .
[20] R. Magin. Fractional Calculus in Bioengineering , 2006 .
[21] Alain Oustaloup,et al. Numerical Simulations of Fractional Systems , 2003 .
[22] Carl F. Lorenzo,et al. Initialization Issues of the Caputo Fractional Derivative , 2005 .