References
- Benson DA. The fractional advection-dispersion equation: development and application [dissertation]. Reno (NV): University of Nevada; 1998.
- Chern JT. Finite element modeling of viscoelastic materials on the theory of fractional calculus [dissertation]. State College (PA): Pennsylvania State University; 1993.
- Engheta N. On fractional calculus and fractional multipoles in electromagnetism. IEEE Trans Antennas Propag. 1996;44:554–566.
- Mandelbrot B. The fractal geometry of nature. San Francisco (CA): Freeman; 1982.
- Oldham KB, Spanier J. The fractional calculus. New York (NY): Academic Press; 1974.
- Diethelm K, Ford NJ. Analysis of fractional differential equations. J Math Anal Appl. 2002;265:229–248.
- Lubich C. Fractional linear multistep methods for Abel--Volterra integral equations of the second kind. Math Comp. 1985;45:463–469.
- Aceto L, Magherini C, Novati P. Fractional convolution quadrature based on generalized Adams methods. Calcolo. 2014;51:441–463.
- Bialaa TA, Jator SN. Block implicit Adams methods for fractional differential equations. Chaos Solitons Fractals. 2015;81:365–377.
- Galeone L, Garrappa R. Explicit methods for fractional differential equations and their stability properties. J Comput Appl Math. 2009;228:548–560.
- Garrappa R. Trapezoidal methods for fractional differential equations: theoretical and computational aspects. Math Comput Simul. 2015;110:96–112.
- Gorenflo R. Fractional calculus: some numerical methods. In: Carpinteri A, Mainardi F, editors. Fractals and fractional calculus in continuum mechanics. New York (NY): Springer-Verlag; 1997. p. 277–290.
- Lubich C. Discretized fractional calculus. SIAM J Math Anal. 1986;17:704–719.
- Galeone L, Garrappa R. On multistep methods for differential equations of fractional order. Mediterr J Math. 2006;3:565–580.
- Aceto L, Magherini C, Novati P. On the construction and properties of m-step methods for FDEs. SIAM J Sci Comput. 2015;37:A653–A675.
- Henrici P. Applied and computational complex analysis. New York (NY): Wiley; 1974.
- Iserles A. A first course in the numerical analysis of differential equations. Cambridge: Cambridge University Press; 1996.
- Podlubny I. Fractional differential equations. San Diego (CA): Academic Press; 1999.
- Lubich C. A stability analysis of convolution quadrature for Abel--Volterra integral equations. IMA J Numer Anal. 1986;6:87–101.
- Diethelm K. An algorithm for the numerical solution of differential equations of fractional order. Electron Trans Numer Anal. 1997;5:1–6.