<?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>S0035-001X2019000500529</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.65.529</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Symmetry properties and exact solutions of the time fractional Kolmogorov-Petrovskii-Piskunov equation]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hashemi]]></surname>
<given-names><![CDATA[M.S.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Inc]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bayram]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of Bonab Basic Science Faculty Department of Mathematics]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Firat University Science Faculty Department of Mathematics]]></institution>
<addr-line><![CDATA[Elazig ]]></addr-line>
<country>Turkey</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Istanbul Gelisim University Department of Computer Engineering ]]></institution>
<addr-line><![CDATA[Istanbul ]]></addr-line>
<country>Turkey</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2019</year>
</pub-date>
<volume>65</volume>
<numero>5</numero>
<fpage>529</fpage>
<lpage>535</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2019000500529&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2019000500529&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2019000500529&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this paper, the time fractional Kolmogorov-Petrovskii-Piskunov (TFKPP) equation is analyzed by means of Lie symmetry approach. The TFKPP is reduced to ordinary differential equation of fractional order via the attained point symmetries. Moreover, the simplest equation method is used in construct the exact solutions of underlying equation with recently introduced conformable fractional derivative.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Time fractional Kolmogorov-Petrovskii-Piskunov equation]]></kwd>
<kwd lng="en"><![CDATA[Lie symmetry analysis]]></kwd>
<kwd lng="en"><![CDATA[Erdélyi-Kober fractional derivative]]></kwd>
<kwd lng="en"><![CDATA[Riemann-Liouville derivative]]></kwd>
<kwd lng="en"><![CDATA[conformable fractional derivative]]></kwd>
<kwd lng="en"><![CDATA[simplest equation method]]></kwd>
<kwd lng="en"><![CDATA[02.30.Uu]]></kwd>
<kwd lng="en"><![CDATA[04.20.Jb]]></kwd>
<kwd lng="en"><![CDATA[05.40.Fb]]></kwd>
<kwd lng="en"><![CDATA[05.60.-k]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gepreel]]></surname>
<given-names><![CDATA[K. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Applied Mathematics Letters]]></source>
<year>2011</year>
<volume>24</volume>
<page-range>1428-34</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hariharan]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Journal of Mathematical Chemistry]]></source>
<year>2013</year>
<volume>51</volume>
<page-range>992-1000</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Li-Na]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Wei-Guo]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<source><![CDATA[Communications in Theoretical Physics]]></source>
<year>2012</year>
<volume>58</volume>
<page-range>182</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nikitin]]></surname>
<given-names><![CDATA[A. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Barannyk]]></surname>
<given-names><![CDATA[T. A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Central European Journal of Mathematics]]></source>
<year>2004</year>
<volume>2</volume>
<page-range>840-58</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Diethelm]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Scalas]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Trujillo]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fractional Calculus Models and Numerical Methods]]></source>
<year>2012</year>
<publisher-name><![CDATA[World Scientiffic]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Podlubny]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications]]></source>
<year>1998</year>
<volume>198</volume>
<publisher-name><![CDATA[Academic press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Caputo]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Fabrizio]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Progr. Fract. Differ. Appl]]></source>
<year>2015</year>
<volume>1</volume>
<page-range>1-13</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Koca]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<source><![CDATA[Chaos, Solitons &amp; Fractals]]></source>
<year>2016</year>
<volume>89</volume>
<page-range>447-54</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khalil]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Horani]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Yousef]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Sababheh]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Journal of Computational and Applied Mathematics]]></source>
<year>2014</year>
<volume>264</volume>
<page-range>65-70</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Abdeljawad]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[Journal of Computational and Applied Mathematics]]></source>
<year>2015</year>
<volume>279</volume>
<page-range>57-66</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Eslami]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Rezazadeh]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[Calcolo]]></source>
<year>2016</year>
<volume>53</volume>
<page-range>475-85</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hosseini]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Mayeli]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Ansari]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Optik - International Journal for Light and Electron Optics]]></source>
<year>2017</year>
<volume>130</volume>
<page-range>737-42</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Çenesiz]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Kurt]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Tasbozan]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
</person-group>
<source><![CDATA[Waves in Random and Complex Media]]></source>
<year>2017</year>
<volume>27</volume>
<page-range>103-16</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tasbozan]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
<name>
<surname><![CDATA[Çenesiz]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Kurt]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[The European Physical Journal Plus]]></source>
<year>2016</year>
<volume>131</volume>
<page-range>244</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zhao]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Luo]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Calcolo]]></source>
<year>2017</year>
<page-range>1-15</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Huang]]></surname>
<given-names><![CDATA[Q.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhdanov]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Physica A: Statistical Mechanics and its Applications]]></source>
<year>2014</year>
<volume>409</volume>
<page-range>110-8</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hu]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Ye]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Shen]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhang]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Appl Math Comput]]></source>
<year>2014</year>
<volume>233</volume>
<page-range>439-44</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sahadevan]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Bakkyaraj]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<source><![CDATA[J Math Anal Appl]]></source>
<year>2012</year>
<volume>393</volume>
<page-range>341-7</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hashemi]]></surname>
<given-names><![CDATA[M. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Communications in Theoretical Physics]]></source>
<year>2016</year>
<volume>65</volume>
<page-range>11</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pashayi]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Hashemi]]></surname>
<given-names><![CDATA[M. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Shahmorad]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Communications in Nonlinear Science and Numerical Simulation]]></source>
<year>2017</year>
<volume>51</volume>
<page-range>66-77</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bahrami]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Najafi]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Hashemi]]></surname>
<given-names><![CDATA[M. S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Indian Journal of Physics]]></source>
<year>2017</year>
<volume>91</volume>
<page-range>1571-9</page-range></nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[G. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Hashemi]]></surname>
<given-names><![CDATA[M. S.]]></given-names>
</name>
</person-group>
<source><![CDATA[Pramana]]></source>
<year>2017</year>
<volume>88</volume>
<page-range>7</page-range></nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hashemi]]></surname>
<given-names><![CDATA[M. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Bahrami]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Najafi]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Optik-International Journal for Light and Electron Optics]]></source>
<year>2017</year>
<volume>138</volume>
<page-range>240-9</page-range></nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Najafi]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Najafi]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Bahrami]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Bahrami]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Hashemi]]></surname>
<given-names><![CDATA[M. S]]></given-names>
</name>
</person-group>
<source><![CDATA[Nonlinear Dynamics]]></source>
<year>2017</year>
<volume>87</volume>
<page-range>1785-96</page-range></nlm-citation>
</ref>
<ref id="B25">
<label>25</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ya&#351;ar]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Y&#305;d&#305;r&#305;m]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Khalique]]></surname>
<given-names><![CDATA[C. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Results in Physics]]></source>
<year>2016</year>
<volume>6</volume>
<page-range>322-8</page-range></nlm-citation>
</ref>
<ref id="B26">
<label>26</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hashemi]]></surname>
<given-names><![CDATA[M. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Journal of Optoelectronics and Advanced Materials]]></source>
<year>2016</year>
<volume>18</volume>
</nlm-citation>
</ref>
<ref id="B27">
<label>27</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kudryashov]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<source><![CDATA[Phys Lett A]]></source>
<year>2005</year>
<volume>342</volume>
<page-range>99-106</page-range></nlm-citation>
</ref>
<ref id="B28">
<label>28</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kudryashov]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<source><![CDATA[Chaos Soliton Fract]]></source>
<year>2005</year>
<volume>24</volume>
<page-range>1217-31</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
