<?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>S0035-001X2020000600840</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.66.840</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[The investigation of a classical particle in the presence of fractional calculus]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Chung]]></surname>
<given-names><![CDATA[Won Sang]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Zare]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Hassanabadi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[K&#345;í&#382;]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Maghsoodi]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Gyeongsang National University Institute of Natural Science ]]></institution>
<addr-line><![CDATA[Jinju ]]></addr-line>
<country>South Korea</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Shahrood University of Technology Faculty of Physics ]]></institution>
<addr-line><![CDATA[Shahrood ]]></addr-line>
<country>Iran</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,University of Hradec Králové Department of Physics ]]></institution>
<addr-line><![CDATA[Hradec Králové ]]></addr-line>
<country>Czechi</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Lorestan University Faculty of Science ]]></institution>
<addr-line><![CDATA[Khoramabad ]]></addr-line>
<country>Iran</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2020</year>
</pub-date>
<volume>66</volume>
<numero>6</numero>
<fpage>840</fpage>
<lpage>847</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2020000600840&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2020000600840&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2020000600840&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this article, by applying a preliminary and comprehensive definition of the fractional calculus, its effect on different aspects of physics is specified, as in the case of Laplace transforms, Riemann-Liouville, and Caputo derivatives. Applications of the fractional calculus in studying the dynamics of particle motion in classical mechanics are investigated analytically. Furthermore, we compare our results with those obtained from the usual methods and we show that both solutions coincide provided the fractional effects are removed.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Fractional calculus]]></kwd>
<kwd lng="en"><![CDATA[fractional classical mechanics]]></kwd>
<kwd lng="en"><![CDATA[Riemann-Louville fractional derivative]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dalir]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Bashour]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Applications of fractional calculus]]></article-title>
<source><![CDATA[Appl. Math. Sci.]]></source>
<year>2010</year>
<volume>4</volume>
<page-range>1021</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>2</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Meerschaert]]></surname>
<given-names><![CDATA[M. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Tadjeran]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Finite difference approximations for two-sided space-fractional partial differential equations]]></article-title>
<source><![CDATA[Appl. Numer. Math.]]></source>
<year>2006</year>
<volume>56</volume>
<page-range>80</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jafari]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Khalique]]></surname>
<given-names><![CDATA[C.M.]]></given-names>
</name>
<name>
<surname><![CDATA[Nazari]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An algorithm for the numerical solution of nonlinear fractional-order Van der Pol oscillator equation]]></article-title>
<source><![CDATA[Math. Comput. Model.]]></source>
<year>2012</year>
<volume>55</volume>
<page-range>1782</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jiang]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analytical solutions for the multi-term time-space Caputo-Riesz fractional advection-diffusion equations on a finite domain]]></article-title>
<source><![CDATA[J. Math. Anal. Appl]]></source>
<year>2012</year>
<volume>389</volume>
<page-range>1117</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>5</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Almeida]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Torres]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Calculus of variations with fractional derivatives and fractional integrals]]></article-title>
<source><![CDATA[Appl. Math. Lett.]]></source>
<year>2009</year>
<volume>22</volume>
<page-range>1816</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>6</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gülsu]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Öztürk]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Anapali]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Numerical approach for solving fractional relaxation-oscillation equation]]></article-title>
<source><![CDATA[Appl. Math. Model]]></source>
<year>2013</year>
<volume>37</volume>
<page-range>5927</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>7</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional variational principles in action]]></article-title>
<source><![CDATA[Phys. Scr]]></source>
<year>2009</year>
<volume>136</volume>
<page-range>014006</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>8</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Iomin]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional-time quantum dynamics]]></article-title>
<source><![CDATA[Phys. Rev. E]]></source>
<year>2009</year>
<volume>80</volume>
<page-range>022103</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>9</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bu]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Tang]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Yang]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Galerkin finite element method for two dimensional Riesz space fractional diffusion equations]]></article-title>
<source><![CDATA[J. Comput. Phys.]]></source>
<year>2014</year>
<volume>276</volume>
<page-range>26</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bu]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Finite difference/finite element method for twodimensional space and time fractional Bloch-Torrey equations]]></article-title>
<source><![CDATA[J. Comput. Phys]]></source>
<year>2015</year>
<volume>293</volume>
<page-range>264</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Efe]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Battery power loss compensated fractional order sliding mode control of a quadrotor UAV]]></article-title>
<source><![CDATA[Asian J. Control]]></source>
<year>2012</year>
<volume>14</volume>
<page-range>413</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Ahn]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional-order iterative learning control for fractional-order linear systems]]></article-title>
<source><![CDATA[Asian. J. Control]]></source>
<year>2011</year>
<volume>13</volume>
<page-range>54</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jin]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Galerkin finite element method for a multiterm time-fractional diffusion equation]]></article-title>
<source><![CDATA[J. Comput. Phys.]]></source>
<year>2015</year>
<volume>281</volume>
<page-range>825</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>14</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mainardi]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Spada]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Creep, relaxation and viscosity properties for basic fractional models in rheology]]></article-title>
<source><![CDATA[Eur. Phys. J. Spec. Top.]]></source>
<year>2011</year>
<volume>193</volume>
<page-range>133</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>15</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lewandowski]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Chora&#380;yczewski]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Identification of the parameters of the Kelvin-Voigt and the Maxwell fractional models, used to modeling of viscoelastic dampers]]></article-title>
<source><![CDATA[Comput. Struct]]></source>
<year>2010</year>
<volume>88</volume>
<page-range>1</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>16</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lewandowski]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Pawlak]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dynamic analysis of frames with viscoelastic dampers modelled by rheological models with fractional derivatives]]></article-title>
<source><![CDATA[J. Sound Vib.]]></source>
<year>2011</year>
<volume>330</volume>
<page-range>923</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>17</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kilbas]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Strivatava]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Trujillo]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Theory and Application of Fractional Differential Equations]]></source>
<year>2006</year>
<edition>1</edition>
<publisher-loc><![CDATA[Amsterdam ]]></publisher-loc>
<publisher-name><![CDATA[Elsevier Science]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pdolubny]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fractional Differential Equations]]></source>
<year>1998</year>
<edition>1</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Academic Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hilfer]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Application of fractional Calculus in Physics]]></source>
<year>2011</year>
<publisher-loc><![CDATA[Singapore ]]></publisher-loc>
<publisher-name><![CDATA[World Scientific]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herrmann]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fractional calculus]]></source>
<year>2011</year>
<edition>1</edition>
<publisher-loc><![CDATA[Singapore ]]></publisher-loc>
<publisher-name><![CDATA[World Scientific]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Diethelm]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Analysis of Fractional Differential Equations]]></source>
<year>2010</year>
<publisher-loc><![CDATA[Berlin ]]></publisher-loc>
<publisher-name><![CDATA[Springer-Verlag]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chung]]></surname>
<given-names><![CDATA[W. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Hassanabadi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Dynamics of a Particle in a Viscoelastic Medium with Conformable Derivative]]></article-title>
<source><![CDATA[Int. J. Theor. Phys]]></source>
<year>2017</year>
<volume>56</volume>
<page-range>851</page-range></nlm-citation>
</ref>
<ref id="B23">
<label>23</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mozaffari]]></surname>
<given-names><![CDATA[F. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Hassanabadi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Sobhani]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Chung]]></surname>
<given-names><![CDATA[W. S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the Conformable Fractional Quantum Mechanics]]></article-title>
<source><![CDATA[J. Korean Phys. Soc.]]></source>
<year>2018</year>
<volume>72</volume>
<page-range>980</page-range></nlm-citation>
</ref>
<ref id="B24">
<label>24</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mozaffari]]></surname>
<given-names><![CDATA[F. S.]]></given-names>
</name>
<name>
<surname><![CDATA[Hassanabadi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Sobhani]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Chung]]></surname>
<given-names><![CDATA[W. S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Investigation of the Dirac Equation by Using the Conformable Fractional Derivative]]></article-title>
<source><![CDATA[J. Korean Phys. Soc]]></source>
<year>2018</year>
<volume>72</volume>
<page-range>987</page-range></nlm-citation>
</ref>
<ref id="B25">
<label>25</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="B26">
<label>26</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Grigoletto]]></surname>
<given-names><![CDATA[E. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Oliveira]]></surname>
<given-names><![CDATA[E. C. de]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional Versions of the Fundamental Theorem of Calculus]]></article-title>
<source><![CDATA[Appl. Math.]]></source>
<year>2013</year>
<volume>4</volume>
<page-range>23</page-range></nlm-citation>
</ref>
<ref id="B27">
<label>27</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Avkar]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Lagrangians with linear velocities within Riemann-Liouville fractional derivatives]]></article-title>
<source><![CDATA[Nuovo Cimento B]]></source>
<year>2004</year>
<volume>119</volume>
<page-range>73</page-range></nlm-citation>
</ref>
<ref id="B28">
<label>28</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Diethelm]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Efficient Solution of Multi-Term Fractional Differential Equations Using P(EC)m E Methods]]></article-title>
<source><![CDATA[Computing]]></source>
<year>2003</year>
<volume>71</volume>
<page-range>305</page-range></nlm-citation>
</ref>
<ref id="B29">
<label>29</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Diethelm]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Ford]]></surname>
<given-names><![CDATA[N.J.]]></given-names>
</name>
<name>
<surname><![CDATA[Freed]]></surname>
<given-names><![CDATA[A.D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Detailed Error Analysis for a Fractional Adams Method]]></article-title>
<source><![CDATA[Numer. Algorithms]]></source>
<year>2004</year>
<volume>36</volume>
<page-range>31</page-range></nlm-citation>
</ref>
<ref id="B30">
<label>30</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mulish]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives]]></article-title>
<source><![CDATA[J. Math. Anal. Appl.]]></source>
<year>2005</year>
<volume>304</volume>
<page-range>599</page-range></nlm-citation>
</ref>
<ref id="B31">
<label>31</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barpi]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Valente]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Creep and fracture in concrete: a fractional order rate approach]]></article-title>
<source><![CDATA[Eng. Fract. Mech.]]></source>
<year>2002</year>
<volume>70</volume>
<page-range>611</page-range></nlm-citation>
</ref>
<ref id="B32">
<label>32</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mulish]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Formulation of Hamiltonian Equations for Fractional Variational Problems, Czechoslov]]></article-title>
<source><![CDATA[J. Phys.]]></source>
<year>2005</year>
<volume>55</volume>
<page-range>633</page-range></nlm-citation>
</ref>
<ref id="B33">
<label>33</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Mulish]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives]]></article-title>
<source><![CDATA[Phys. Scr.]]></source>
<year>2005</year>
<volume>72</volume>
<page-range>119</page-range></nlm-citation>
</ref>
<ref id="B34">
<label>34</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Craiem]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional Calculus Applied to Model Arterial Viscoelasticity]]></article-title>
<source><![CDATA[Lat. Am. Appl. Res.]]></source>
<year>2008</year>
<volume>38</volume>
<page-range>141</page-range></nlm-citation>
</ref>
<ref id="B35">
<label>35</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Churchill]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<source><![CDATA[Operational Mathematics]]></source>
<year>1972</year>
<edition>3</edition>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B36">
<label>36</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kazem]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Exact Solution of Some Linear Fractional Differential Equations by Laplace Transform]]></article-title>
<source><![CDATA[Int. J. Nonlinear Sci.]]></source>
<year>2013</year>
<volume>16</volume>
<page-range>3</page-range></nlm-citation>
</ref>
<ref id="B37">
<label>37</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F.]]></given-names>
</name>
<name>
<surname><![CDATA[Rosales-García]]></surname>
<given-names><![CDATA[J. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Bernal-Alvarado]]></surname>
<given-names><![CDATA[J. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Córdova-Fraga]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Guzmán-Cabrera]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional mechanical oscillators]]></article-title>
<source><![CDATA[Rev. Mex. Fis.]]></source>
<year>2012</year>
<volume>58</volume>
<page-range>348</page-range></nlm-citation>
</ref>
<ref id="B38">
<label>38</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[J. J. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Calderon]]></surname>
<given-names><![CDATA[M. G.]]></given-names>
</name>
<name>
<surname><![CDATA[Ortiz]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Motion of a particle in a resisting medium using fractional calculus approach]]></article-title>
<source><![CDATA[Proc. Romanian Acad. A]]></source>
<year>2013</year>
<volume>14</volume>
<page-range>42</page-range></nlm-citation>
</ref>
<ref id="B39">
<label>39</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Contreras]]></surname>
<given-names><![CDATA[A. O.]]></given-names>
</name>
<name>
<surname><![CDATA[García]]></surname>
<given-names><![CDATA[J. J. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Jiménez]]></surname>
<given-names><![CDATA[L. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Cruz-Duarte]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analysis of projectile motion in view of conformable derivative]]></article-title>
<source><![CDATA[Open Phys]]></source>
<year>2018</year>
<volume>16</volume>
<page-range>581</page-range></nlm-citation>
</ref>
<ref id="B40">
<label>40</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ahmad]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Batarfi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Nieto]]></surname>
<given-names><![CDATA[J. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Otero-Zarraquiños]]></surname>
<given-names><![CDATA[Ó.]]></given-names>
</name>
<name>
<surname><![CDATA[Shammakh]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Projectile motion via Riemann-Liouville calculus]]></article-title>
<source><![CDATA[Adv. Diff. Eqs]]></source>
<year>2015</year>
<volume>2015</volume>
<page-range>63</page-range></nlm-citation>
</ref>
<ref id="B41">
<label>41</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ebaid]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analysis of projectile motion in view of fractional calculus]]></article-title>
<source><![CDATA[Appl. Math. Model.]]></source>
<year>2011</year>
<volume>35</volume>
<page-range>1231</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
