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Vol. 15 No. 2 (2024)
Vol. 15 Núm. 2 (2024): Vol 15, Núm.2 (2024): Julio-Diciembre

Artículos de investigación / Research papers

Numfracpy, Fractional Calculus Techniques with Python

https://doi.org/10.19053/uptc.01217488.v15.n2.2024.17346

Published 2024-07-23

  • Jorge Hernán López Melo
    • ,
  • Alejandro P. Riascos

Jorge Hernán López Melo
Departamento de Física, Universidad de Nariño

Alejandro P. Riascos
Universidad Nacional de Colombia image/svg+xml

Abstract

This work introduces a Python library that implements techniques of fractional calculus. This type of
calculus has seen a significant increase in its applications across various scientific areas in recent decades.
However, the calculations required for its development are not straightforward, and there are limited
computational tools available, especially in Python. Numfracpy is publicly available on the Python Package
Index (PyPI) and incorporates various fractional calculus concepts, such as Riemann-Liouville integral and
derivative, Caputo derivative, Grünwald-Letnikov derivative, Mittag-Leffler functions, numerical solution of
a specific fractional differential equation, and a system of such differential equations. The paper presents
several implemented algorithms, and the obtained results are compared with those reported in the literature,
demonstrating good approximations in the various illustrated examples.

Keywords

Fractional Calculus, Caputo, Grüwald-Letnikov, Numerical Methods, Python, Riemann- Liouville.

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