<?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>0185-1101</journal-id>
<journal-title><![CDATA[Revista mexicana de astronomía y astrofísica]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. astron. astrofis]]></abbrev-journal-title>
<issn>0185-1101</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Instituto de Astronomía]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0185-11012021000100189</article-id>
<article-id pub-id-type="doi">10.22201/ia.01851101p.2021.57.01.14</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Artificial Neural Network Modeling of the Conformable Fractional Isothermal Gas Spheres]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Azzam]]></surname>
<given-names><![CDATA[Yosry. A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Abdel-Salam]]></surname>
<given-names><![CDATA[Emad A.-B.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Nouh]]></surname>
<given-names><![CDATA[Mohamed I.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,National Research Institute of Astronomy and Geophysics  ]]></institution>
<addr-line><![CDATA[Cairo ]]></addr-line>
<country>Egypt</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,New Valley University  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Egypt</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2021</year>
</pub-date>
<volume>57</volume>
<numero>1</numero>
<fpage>189</fpage>
<lpage>198</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0185-11012021000100189&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0185-11012021000100189&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0185-11012021000100189&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[ABSTRACT The isothermal gas sphere is a particular type of Lane-Emden equation and is used widely to model many problems in astrophysics, like the formation of stars, star clusters and galaxies. In this paper, we present a computational scheme to simulate the conformable fractional isothermal gas sphere using an artificial neural network (ANN) technique, and we compare the obtained results with the analytical solution deduced using the Taylor series. We performed our calculations, trained the ANN, and tested it using a wide range of the fractional parameter. Besides the Emden functions, we calculated the mass-radius relations and the density profiles of the fractional isothermal gas spheres. The results obtained show that the ANN could perfectly simulate the conformable fractional isothermal gas spheres.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[RESUMEN La esfera isotérmica de gas es un caso particular de la ecuación de Lane-Emden y se usa ampliamente para modelar problemas en astrofísica, como los relacionados con la formación estelar, los cúmulos estelares y las galaxias. Presentamos un esquema de cómputo para simular la esfera gaseosa fraccionalmente isotérmica utilizando una técnica de malla neuronal artificial (ANN) y comparamos los resultados con la solución analítica obtenida mediante series de Taylor. Real- izamos los cálculos, entrenamos a la ANN y la probamos usando un gran intervalo del parámetro fraccional. Además de las funciones de Lane-Emden, calculamos las relaciones masa-radio y los perfiles de densidad de las esferas fraccionalmente isotérmicas. Los resultados muestran que la ANN fue capaz de simular perfectamente las esferas gaseosas fraccionalmente isotérmicas conformables.]]></p></abstract>
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