Encontro com o Cálculo Fracionário
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https://doi.org/10.22481/intermaths.v2i2.10098Palavras-chave:
Cálculo Fracionário, Ensino, PesquisaDownloads
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K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley & Sons, Inc., New York, (1993).
S. G. Samko, A. A. Kilbas and O. I. Marichev, Fractional Intergrals and Derivatives, Gordon and Breach Science Publishers, Amsterdam, (1993).
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R. Figueiredo Camargo e E. Capelas de Oliveira, Cálculo Fracionário, Editora Livraria da Física, São Paulo, (2015). ISBN 9788578613297
J. A. Tenreiro Machado, V. Kiryakova, F. Mainardi and T. Atanacković, Round Table Discussion - Fractional Calculus: D’où venons nous? Que sommes-nous? Où allons nous?, Frac. Cal. & Appl. Cal., 19, 1074-1104, (2016). https://doi.org/10.1515/fca-2016-0059
D. S. Oliveira and E. Capelas de Oliveira, On the generalized (k,ρ)-fractional derivative, Progr. Fract. Differ. Appl., 2, 133-145, (2018). http://dx.doi.org/10.18576/pfda/040207
J. V. da Costa Sousa and E. Capelas de Oliveira, On the ψ-Hilfer fractional derivative, Commun. Nonl. Sci. Numer. Simulat., 60, 72-91, (2018).
https://doi.org/10.1016/j.cnsns.2018.01.005
G. Sales Teodoro, J. A. Tenreiro Machado, and E. Capelas de Oliveira, A review of definitions of fractional derivatives and other operators, J. Comput. Phys., 388, 195-209, (2019). https://doi.org/10.1016/j.jcp.2019.03.008
A. R. Gómez Plata y E. Capelas de Oliveira, Introducción al Cálculo Fraccional, Editorial Neogranadina, Bogotá, (2019). https://doi.org/10.18359/9789588795812
E. Capelas de Oliveira, Solved Exercises in Fractional Calculus, Studies in Systems, Decision and Control, vol. 240, Springer Nature Switzerland AG, (2019). https://doi.org/10.1007/978-3-030-20524-9
E. Capelas de Oliveira, S. Jarosz, and J. Vaz Jr., On the mistake in defining fractional derivative using a non-singular kernel, arXiv:1912.04422v3.
R. Gorenflo, A. A. Kilbas, F. Mainardi, and S. V. Rogosin, Mittag-Leffler Functions, Related Topics and Applications, Springer Monograph in Mathematics, Second Edition, Heidelberg, (2021). https://doi.org/10.1007/978-3-662-43930-2
J. Vaz Jr. and E. Capelas de Oliveira, On the fractional Kelvin-Voigt oscillator, Math. Eng., 4, 1-23, (2022). https://doi.org/10.3934/mine.2022006
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