<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0121-7488</journal-id>
<journal-title><![CDATA[Ciencia en Desarrollo]]></journal-title>
<abbrev-journal-title><![CDATA[Ciencia en Desarrollo]]></abbrev-journal-title>
<issn>0121-7488</issn>
<publisher>
<publisher-name><![CDATA[Universidad Pedagógica y Tecnológica de Colombia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-74882024000200043</article-id>
<article-id pub-id-type="doi">10.19053/uptc.01217488.v15.n2.2024.17346</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Numfracpy, Técnicas del Cálculo Fraccionario en Python]]></article-title>
<article-title xml:lang="en"><![CDATA[Numfracpy, Fractional Calculus Techniques with Python]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lopez]]></surname>
<given-names><![CDATA[Jorge H.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Riascos]]></surname>
<given-names><![CDATA[Alejandro P.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Nariño  ]]></institution>
<addr-line><![CDATA[San Juan de Pasto ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional de Colombia  ]]></institution>
<addr-line><![CDATA[Bogotá ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2024</year>
</pub-date>
<volume>15</volume>
<numero>2</numero>
<fpage>43</fpage>
<lpage>52</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-74882024000200043&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-74882024000200043&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-74882024000200043&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen En este trabajo se introduce una librería en el lenguaje Python que implementa técnicas propias del cálculo fraccionario. Este tipo de cálculo ha visto un incremento notable de sus aplicaciones en diversas áreas de las ciencias en las últimas décadas. Sin embargo, el tipo de cálculos que se necesitan para su desarrollo no son simples y no hay muchas ayudas computacionales para su implementación, especialmente en Python. Numfracpy se encuentra disponible al público en el índice de paquetes PyPI (Python Package Index) e implementa diversos conceptos del cálculo fraccionario como lo son: La integral y la derivada de Riemann-Liouville, la derivada de Caputo, la derivada de Grünwald-Letnikov, las funciones de Mittag-Leffler, la solución numérica de un tipo de ecuación diferencial en derivadas fraccionarias y un sistema de tales ecuaciones diferenciales. En este trabajo se presentan varios algoritmos implementados y los resultados obtenidos se comparan con aquellos reportados en la literatura, encontrando una buena aproximación en los diferentes ejemplos ilustrados.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[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.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[Cálculo Fraccionario]]></kwd>
<kwd lng="es"><![CDATA[Caputo]]></kwd>
<kwd lng="es"><![CDATA[Grüwald-Letnikov]]></kwd>
<kwd lng="es"><![CDATA[Métodos Numéricos]]></kwd>
<kwd lng="es"><![CDATA[Python]]></kwd>
<kwd lng="es"><![CDATA[Riemann-Liouville]]></kwd>
<kwd lng="en"><![CDATA[Fractional Calculus]]></kwd>
<kwd lng="en"><![CDATA[Caputo]]></kwd>
<kwd lng="en"><![CDATA[Grüwald-Letnikov]]></kwd>
<kwd lng="en"><![CDATA[Numerical Methods]]></kwd>
<kwd lng="en"><![CDATA[Python]]></kwd>
<kwd lng="en"><![CDATA[Riemann-Liouville]]></kwd>
</kwd-group>
</article-meta>
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