<?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>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2022000400004</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.68.040703</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Initial value problem for a Caputo space-time fractional Schrödinger equation for the delta potential]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Saberhaghparvar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Panahi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of Guilan Faculty of Science Department of Physics]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Iran</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>08</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>08</month>
<year>2022</year>
</pub-date>
<volume>68</volume>
<numero>4</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2022000400004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2022000400004&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2022000400004&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this paper, we consider a Caputo space-time fractional Schrödinger equation for the delta potential. To solve the equation, we use the joint Laplace and Fourier transforms on the spatial and time coordinates, respectively. After applying the integral transformations, we use the special initial and boundary physical conditions obtained by trial and error; these special initial conditions involve considering the initial spatial wave function in terms of the Mittag-Leffler function. Consequently, using the fractional calculus, we obtain the wave functions and corresponding eigenvalues. Finally, to verify the solution, we recover the standard case corresponding to &#945; &#8594;1 and &#946; &#8594; 1.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[The fractional Schrödinger equation]]></kwd>
<kwd lng="en"><![CDATA[Caputo space-time fractional derivative]]></kwd>
<kwd lng="en"><![CDATA[Mittag-Leffler function]]></kwd>
</kwd-group>
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