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Betancur-Herrera DE, Muñoz-Galeano N. Data for numerical solution of Caputo's and Riemann-Liouville's fractional differential equations. Data Brief. 2020;30:105375doi: 10.1016/j.dib.2020.105375.
Betancur-Herrera, D. E., & Muñoz-Galeano, N. (2020). Data for numerical solution of Caputo's and Riemann-Liouville's fractional differential equations. Data in brief, 30105375. https://doi.org/10.1016/j.dib.2020.105375
Betancur-Herrera, David E, and Muñoz-Galeano, Nicolas. "Data for numerical solution of Caputo's and Riemann-Liouville's fractional differential equations." Data in brief vol. 30 (2020): 105375. doi: https://doi.org/10.1016/j.dib.2020.105375
Betancur-Herrera DE, Muñoz-Galeano N. Data for numerical solution of Caputo's and Riemann-Liouville's fractional differential equations. Data Brief. 2020 Mar 05;30:105375. doi: 10.1016/j.dib.2020.105375. eCollection 2020 Jun. PMID: 32258266; PMCID: PMC7113621.
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Data Brief. 2020 Mar 05;30:105375. doi: 10.1016/j.dib.2020.105375. eCollection 2020 Jun.

Data for numerical solution of Caputo's and Riemann-Liouville's fractional differential equations.

Data in brief

David E Betancur-Herrera, Nicolas Muñoz-Galeano

Affiliations

  1. Grupo en Manejo Eficiente de la Energía (GIMEL), Departamento de Ingeniería Eléctrica, Universidad de Antioquia (UdeA), Calle 70 No. 52-21, Medellin 050010, Colombia.

PMID: 32258266 PMCID: PMC7113621 DOI: 10.1016/j.dib.2020.105375

Abstract

The data presented in this paper are related to the paper entitled "A Numerical Method for Solving Caputo's and Riemann-Liouville's Fractional Differential Equations which includes multi-order fractional derivatives and variable coefficients", available in the "Communications in Nonlinear Science and Numerical Simulation" journal. Here, data are included for three of the four examples of Fractional Differential Equation (FDE) reported in [1], the other data is already available in [1]. Data for each example contain: the interval of the solution, the solution by using the proposed method, the analytic solution and the absolute error. Data were obtained through Octave 5.1.0 simulations. For a better comprehension of the data, a pseudo-code of three stages and nine steps is included.

© 2020 The Author(s).

Keywords: Caputo's derivatives; Fractional differential equations; Numerical method; Riemann–Liouville's derivatives

Conflict of interest statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

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