An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11075-008-9193-8.pdf
Reference24 articles.
1. Bagley, R.L., Calico, R.A.: Fractional order state equations for the control of viscoelastically damped structures. J. Guid. Control Dyn. 14, 304–311 (1991)
2. Capobianco, M.R., Criscuolo, G.: Some remarks on the numerical computation of integrals on an unbounded interval. Numer. Algorithms 45, 37–48 (2007)
3. Caputo, M.: Linear models of dissipation whose Q is almost frequency independent–II. Geophys. J. R. Astron. Soc. 13, 529–539 (1967) (reprinted in Fract. Calc. Appl. Anal. 11, 4–14 (2008))
4. Chatterjee, A.: Statistical origins of fractional derivatives in viscoelasticity. J. Sound Vib. 284, 1239–1245 (2005)
5. Davis, P.J., Rabinowitz, P.: Some geometrical theorems for abscissas and weights of Gauss type. J. Math. Anal. Appl. 2, 428–437 (1961)
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