This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
I. Podlubny. Fractional Differential Equations. Academic Press, INC, San Diego Ca, 1999.PodlubnyI.Academic Press, INCSan Diego Ca1999Search in Google Scholar
J. Jiang, D. Cao, and H. Chen. Boundary value problems for fractional differential equation with causal operators. Applied Mathematics and Nonlinear Sciences, 1(1):11–22, 2016. DOI: 10.21042/AMNS.2016.1.00022.JiangJ.CaoD.ChenH.Boundary value problems for fractional differential equation with causal operators111122201610.21042/AMNS.2016.1.00022.Open DOISearch in Google Scholar
I. R. Birs, C. I. Muresan, S. Folea, and O. Prodan. A Comparison between Integer and Fractional Order PD μ Controllers for Vibration Suppression. Applied Mathematics and Nonlinear Sciences , 1(1):273–282, 2016. 10.21042/AMNS.2016.1.00022BirsI. R.MuresanC. I.FoleaS.ProdanO.A Comparison between Integer and Fractional Order PDμ Controllers for Vibration Suppression11273282201610.21042/AMNS.2016.1.00022Open DOISearch in Google Scholar
P. Ostalczyk. Zarys rachunku różzniczkowego i całkowego ułamkowych rzędów . Wydawnictwo Politechniki Łódzkiej, Łódź, Poland, 2006.OstalczykP.Zarys rachunku różzniczkowego i całkowego ułamkowych rzędówŁódźPoland2006Search in Google Scholar
D. W. Brzeziński and P. Ostalczyk. High-accuracy numerical integration methods for fractional order derivatives and integrals computations. Bulletin of the Polish Academy of Sciences Technical Sciences , 62(4):723–733, 2014.BrzezińskiD. W.OstalczykP.High-accuracy numerical integration methods for fractional order derivatives and integrals computations.624723733201410.2478/bpasts-2014-0078Search in Google Scholar
D. W. Brzeziński. Accuracy problems of numerical calculation of fractional order derivatives and integrals applying the riemann-liouville/caputo formulas. Applied Mathematics and Nonlinear Sciences , 1(1):23–43, 2016.BrzezińskiD. W.Accuracy problems of numerical calculation of fractional order derivatives and integrals applying the riemann-liouville/caputo formulas112343201610.21042/AMNS.2016.1.00003Search in Google Scholar
Torbjörn Granlund et al. gmp: GMP is a free library for precision arithmetic (version 6.0.0a), 2015. https://gmplib.org/Torbjörn Granlund et al.2015https://gmplib.org/Search in Google Scholar
Guillaume Hanrot et al. mpfr: The MPFR library for multiple-precision floating-point computations with correct rounding. (version 3.13), 2015. http://www.mpfr.org/HanrotGuillaume2015http://www.mpfr.org/Search in Google Scholar
Pavel Holoborodko. High-performance C++ interface for MPFR library (version 3.6.2), 2015. http://www.holoborodko.com/pavel/mpfr/HoloborodkoPavel2015http://www.holoborodko.com/pavel/mpfr/Search in Google Scholar
M. Abramowitz and I. A. Stegun. Handbook of Mathematical Functions. Applied Mathematics Series . Cambridge University Press, 1968.AbramowitzM.Stegun.I. A.Cambridge University Press1968Search in Google Scholar
N. Hale and A. Townsend. Fast and accurate computation of gauss-legendre and gauss-jacobi quadrature nodes and weights. Oxford Centre for Collaborative Applied Mathematics, 2012. OCCAM Preprint Number 12/79.HaleN.TownsendA.2012OCCAM Preprint Number 12/79Search in Google Scholar
B.P. Demidowicz, I.A. Maron, and E.Z. Szuwałowa. Metody Numeryczne. Państwowe Wydawnictwo Naukowe, Warszawa, Poland, 1965.DemidowiczB.P.MaronI.A.SzuwałowaE.Z.Metody Numeryczne1965Search in Google Scholar
Pavel Holoborodko. Central Differences, 2009. http://www.holoborodko.comHoloborodko.Pavel2009http://www.holoborodko.comSearch in Google Scholar
J. M. Müller, N. Brisebarre, F. De Dinechin, C. P. Jeannerod, V. Lefevre, G. Melquiond, N. Revol, D. Stehle, and S. Torres. Handbook of Floating-Point Arithmetic . Birkhauser, New York, NY, 2010.MüllerJ. M.BrisebarreN.DinechinF. DeJeannerodC. P.LefevreV.MelquiondG.RevolN.StehleD.TorresS.BirkhauserNew York, NY201010.1007/978-0-8176-4705-6Search in Google Scholar
K. R. Ghazi, V. Lefevre, P. Theveny, and P. Zimmermann. Why and how to use arbitrary precision. IEEE Computer Society , 12(3):1–5, 2001.GhaziK. R.LefevreV.ThevenyP.ZimmermannP.Why and how to use arbitrary precision.12315200110.1109/MCSE.2010.73Search in Google Scholar
Microprocessor Standards Committee. IEEE Standard for Floating-Point Arithmetic, 2008. http//dox.doi.org/10.1109/IEEESTD.2008.4610935Microprocessor Standards Committee.2008http//dox.doi.org/10.1109/IEEESTD.2008.4610935Search in Google Scholar
D. W. Brzeziński and P. Ostalczyk. Accuracy assessment of fractional order derivatives and integrals numerical computations. Journal of Applied Nonlinear Dynamics, 4(1):53–65, 2015.BrzezińskiD. W.OstalczykP.Accuracy assessment of fractional order derivatives and integrals numerical computations415365201510.5890/JAND.2015.03.005Search in Google Scholar