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

David E Betancur-Herrera; Nicolas Muñoz-Galeano

doi:10.1016/j.dib.2020.105375

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

Data Brief. 2020 Mar 5:30:105375. doi: 10.1016/j.dib.2020.105375. eCollection 2020 Jun.

Authors

David E Betancur-Herrera¹, Nicolas Muñoz-Galeano¹

Affiliation

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.

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.

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