<?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>S0035-001X2022000400014</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.68.041401</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Effect of fractional analysis on magnetic curves]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Has]]></surname>
<given-names><![CDATA[Aykut]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Yilmaz]]></surname>
<given-names><![CDATA[Beyhan]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Kahramanmara&#351; Sütçü &#304;mam University Faculty of Science Department of Mathematics]]></institution>
<addr-line><![CDATA[Kahramanmara&#351; ]]></addr-line>
<country>Turkey</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=S0035-001X2022000400014&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2022000400014&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2022000400014&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract In this present paper, the effect of fractional analysis on magnetic curves is researched. A magnetic field is defined by the property that its divergence is zero in three dimensional Riemannian manifold. We investigate the trajectories of the magnetic fields called as t-magnetic, n-magnetic and b-magnetic curves according to fractional derivative and integral. As it is known, there are not many studies on a geometric interpretation of fractional calculus. When examining the effect of fractional analysis on a magnetic curve, the conformable fractional derivative that best fits the algebraic structure of differential geometry derivative is used. This effect is examined with the help of examples consistent with the theory and visualized for different values of the conformable fractional derivative. The difference of this study from others is the use of conformable fractional derivatives and integrals in calculations. Fractional calculus has applications in many fields such as physics, engineering, mathematical biology, fluid mechanics, signal processing, etc. Fractional derivatives and integrals have become an extremely important and new mathematical method in solving various problems in many sciences.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Magnetic curve]]></kwd>
<kwd lng="en"><![CDATA[vector fields]]></kwd>
<kwd lng="en"><![CDATA[fractional derivative]]></kwd>
<kwd lng="en"><![CDATA[conformable 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[Barros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Romero]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Magnetic vortices]]></article-title>
<source><![CDATA[EPL]]></source>
<year>2007</year>
<volume>77</volume>
<page-range>1</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[Ceyhan]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Electromagnetic curves and rotation of the polarization plane through alternative moving frame]]></article-title>
<source><![CDATA[Eur. Phys. J. Plus]]></source>
<year>2020</year>
<volume>135</volume>
<page-range>867</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[Körpinar]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Demirkol]]></surname>
<given-names><![CDATA[R.C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D semi-Riemannian manifold]]></article-title>
<source><![CDATA[J. Mod. Optik]]></source>
<year>2019</year>
<volume>66</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>857</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[Körpinar]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Demirkol]]></surname>
<given-names><![CDATA[R.C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Electromagnetic curves of the linearly polarized light wave along an optical fiber in a 3D Riemannian manifold with Bishop equations]]></article-title>
<source><![CDATA[J. Mod. Optik]]></source>
<year>2020</year>
<volume>200</volume>
<page-range>163334</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[Körpinar]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Demirkol]]></surname>
<given-names><![CDATA[R.C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Electromagnetic curves of the polarized light wave along the optical fiber in De-Sitter 2-space S12]]></article-title>
<source><![CDATA[Indian J. Phys.]]></source>
<year>2021</year>
<volume>95</volume>
<page-range>147</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[Körpinar]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Geometric magnetic phase for timelike spherical optical ferromagnetic model]]></article-title>
<source><![CDATA[Int. J. Geom. Methods Mod. Phys.]]></source>
<year>2021</year>
<volume>18</volume>
<page-range>2150099</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[Körpinar]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Demirkol]]></surname>
<given-names><![CDATA[R.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Körpinar]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Asil]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New magnetic flux flows with Heisenberg ferromagnetic spin of optical quasi velocity magnetic flows with flux density]]></article-title>
<source><![CDATA[Rev. Mex. Fis.]]></source>
<year>2021</year>
<volume>67</volume>
<page-range>378</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[Körpinar]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Demirkol]]></surname>
<given-names><![CDATA[R.C.]]></given-names>
</name>
<name>
<surname><![CDATA[Körpinar]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Asil]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction]]></article-title>
<source><![CDATA[Rev. Mex. Fis.]]></source>
<year>2021</year>
<volume>67</volume>
<page-range>452</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[Özdemir]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Gök]]></surname>
<given-names><![CDATA[&#304;.]]></given-names>
</name>
<name>
<surname><![CDATA[Yayliand]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Ekmekci]]></surname>
<given-names><![CDATA[F.N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Notes on magnetic curves in 3D semi-Riemannian manifolds]]></article-title>
<source><![CDATA[Turkish Journal of Mathematics]]></source>
<year>2015</year>
<volume>39</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>412</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>10</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Loverro]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fractional Calculus: History, definitions and applications for the engineer]]></source>
<year>2004</year>
<publisher-loc><![CDATA[USA ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B11">
<label>11</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bagley]]></surname>
<given-names><![CDATA[R.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Torvik]]></surname>
<given-names><![CDATA[P.J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A theoretical basis for the application of fractional calculus to viscoelasticity]]></article-title>
<source><![CDATA[J. Rheol.]]></source>
<year>1983</year>
<volume>27</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>201</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Oldham]]></surname>
<given-names><![CDATA[K.B.]]></given-names>
</name>
<name>
<surname><![CDATA[Spanier]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<source><![CDATA[The fractional calculus]]></source>
<year>1974</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Academic Pres]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<label>13</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Caputo]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Linear models of dissipation whose Q is almost frequency independent-II]]></article-title>
<source><![CDATA[Geophys. J. R. Astr. Soc.]]></source>
<year>1967</year>
<volume>13</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>529</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>14</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[Applications of fractional calculus in physics]]></source>
<year>2000</year>
<publisher-loc><![CDATA[Singapore ]]></publisher-loc>
<publisher-name><![CDATA[World Scientific]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B15">
<label>15</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[Srivastava]]></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 applications of fractional differential equations]]></source>
<year>2006</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[North-Holland]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<label>16</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[Vacaru]]></surname>
<given-names><![CDATA[S.I.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Constant curvature coefficients and exact solutions in fractional gravity and geometric mechanics]]></article-title>
<source><![CDATA[Cent. Eur. J. Phys.]]></source>
<year>2011</year>
<numero>5</numero>
<issue>5</issue>
<page-range>1267</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[Miller]]></surname>
<given-names><![CDATA[K.S.]]></given-names>
</name>
<name>
<surname><![CDATA[Ross]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<source><![CDATA[An introduction to the fractional calculus and fractional differential equations]]></source>
<year>1993</year>
<publisher-loc><![CDATA[Wiley ]]></publisher-loc>
<publisher-name><![CDATA[New York]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<label>18</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yilmaz]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A new type electromagnetic curves in optical fiber and rotation of the polarization plane using fractional calculus]]></article-title>
<source><![CDATA[Optik-International Journal for Light and Electron]]></source>
<year>2021</year>
<volume>247</volume>
<page-range>168026</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>19</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Lazopoulos]]></surname>
<given-names><![CDATA[K.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Lazopoulos]]></surname>
<given-names><![CDATA[A.K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional differential geometry of curves and surfaces]]></article-title>
<source><![CDATA[Progr. Fract. Differ. Appl.]]></source>
<year>2016</year>
<volume>2</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>169</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>20</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yajima]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Oiwa]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Yamasaki]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas]]></article-title>
<source><![CDATA[Fractional Calculus and Applied Analysis]]></source>
<year>2018</year>
<volume>21</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>1493</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>21</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Anderson]]></surname>
<given-names><![CDATA[D.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Ulness]]></surname>
<given-names><![CDATA[D.J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Results for conformable differential equations]]></article-title>
<source><![CDATA[Preprint]]></source>
<year>2016</year>
</nlm-citation>
</ref>
<ref id="B22">
<label>22</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Anderson]]></surname>
<given-names><![CDATA[D.R.]]></given-names>
</name>
<name>
<surname><![CDATA[Camrud]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
<name>
<surname><![CDATA[Ulness]]></surname>
<given-names><![CDATA[D.J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the nature of the conformable derivative and its applications to physics]]></article-title>
<source><![CDATA[Journal of Fractional Calculus ans Applications]]></source>
<year>2019</year>
<volume>10</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>92</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[Yajima]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Yamasaki]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Geometry of surfaces with Caputo fractional derivatives and applications to incompressible two-dimensional flows]]></article-title>
<source><![CDATA[J. Phys. A: Math. Theor.]]></source>
<year>2012</year>
<volume>45</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>065201</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[Aydin]]></surname>
<given-names><![CDATA[M.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Bekta&#351;]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<given-names><![CDATA[A.O.]]></given-names>
</name>
<name>
<surname><![CDATA[Yoku&#351;]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Differential geometry of curves in Euclidean 3-space with fractional order]]></article-title>
<source><![CDATA[International Electronic Journal of Geometry]]></source>
<year>2021</year>
<volume>14</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>132</page-range></nlm-citation>
</ref>
<ref id="B25">
<label>25</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Aydin]]></surname>
<given-names><![CDATA[M.E.]]></given-names>
</name>
<name>
<surname><![CDATA[Mihai]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Yokus]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Applications of fractional calculus in equiaffine geometry: Plane curves with fractional order]]></article-title>
<source><![CDATA[Math Meth Appl Sci.]]></source>
<year>2021</year>
<volume>44</volume>
<page-range>13659</page-range></nlm-citation>
</ref>
<ref id="B26">
<label>26</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Struik]]></surname>
<given-names><![CDATA[D.J.]]></given-names>
</name>
</person-group>
<source><![CDATA[Lectures on classical diferential geometry]]></source>
<year>1988</year>
<edition>2</edition>
<publisher-loc><![CDATA[Boston ]]></publisher-loc>
<publisher-name><![CDATA[Addison Wesle]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B27">
<label>27</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[General helices and a theorem of Lancret]]></article-title>
<source><![CDATA[Proc, Am. Math. Soc.]]></source>
<year>1997</year>
<volume>125</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>1503</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[Izumiya]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Takeuchi]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New special curves and developable surfaces]]></article-title>
<source><![CDATA[Turk J Math]]></source>
<year>2004</year>
<volume>28</volume>
<page-range>153</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[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>
<article-title xml:lang=""><![CDATA[A new definition of fractional derivative]]></article-title>
<source><![CDATA[Journal of Computational and Applied Mathematics]]></source>
<year>2014</year>
<volume>264</volume>
<page-range>65</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[Abdeljawad]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On conformable fractional calculus]]></article-title>
<source><![CDATA[Journal of Computational and Applied Mathematics]]></source>
<year>2015</year>
<volume>27</volume>
<numero>9</numero>
<issue>9</issue>
<page-range>57</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[Barros]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Cabrerizo]]></surname>
<given-names><![CDATA[J.L.]]></given-names>
</name>
<name>
<surname><![CDATA[Fernández]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Romero]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Magnetic vortex filament flows]]></article-title>
<source><![CDATA[Journal of Mathematical Physics]]></source>
<year>2007</year>
<volume>48</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>082904</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[Bozkurt]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Gok]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Yayli]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Ekmekçi]]></surname>
<given-names><![CDATA[F.N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A new approach for magnetic curves in 3D Riemannian manifolds]]></article-title>
<source><![CDATA[Journal of Mathematical Physics]]></source>
<year>2014</year>
<volume>55</volume>
<page-range>053501</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[Gozutok]]></surname>
<given-names><![CDATA[U.]]></given-names>
</name>
<name>
<surname><![CDATA[Coban]]></surname>
<given-names><![CDATA[H.A.]]></given-names>
</name>
<name>
<surname><![CDATA[Sagiroglu]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Frenet frame with respect to conformable derivative]]></article-title>
<source><![CDATA[Filomat]]></source>
<year>2019</year>
<volume>33</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>1541</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
